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54

Sep 18, 2013
09/13

by
Cecilia Albertsson; Tetsuji Kimura; Ronald A. Reid-Edwards

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We define the open string version of the nonlinear sigma model on doubled geometry introduced by Hull and Reid-Edwards, and derive its boundary conditions. These conditions include the restriction of D-branes to maximally isotropic submanifolds as well as a compatibility condition with the Lie algebra structure on the doubled space. We demonstrate a systematic method to derive and classify D-branes from the boundary conditions, in terms of embeddings both in the doubled geometry and in the...

Source: http://arxiv.org/abs/0806.1783v3

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83

Jul 20, 2013
07/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

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We present the Ricci-flat metric and its Kahler potential on the conifold with the O(N) isometry, whose conical singularity is repaired by the complex quadric surface Q^{N-2} = SO(N)/SO(N-2)xU(1).

Source: http://arxiv.org/abs/hep-th/0107100v3

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33

Sep 18, 2013
09/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

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We propose a class of N=2 supersymmetric nonlinear sigma models on the noncompact Ricci-flat Kahler manifolds, interpreted as the complex line bundles over the hermitian symmetric spaces. Kahler potentials and Ricci-flat metrics for these manifolds with isometries are explicitly constructed by using the techniques of supersymmetric gauge theories. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the...

Source: http://arxiv.org/abs/hep-th/0210034v1

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Sep 21, 2013
09/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

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We propose a class of N=2 supersymmetric nonlinear sigma models on the Ricci-flat Kahler manifolds with O(n) symmetry.

Source: http://arxiv.org/abs/hep-th/0104184v3

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91

Sep 17, 2013
09/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

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Using techniques of supersymmetric gauge theories, we present the Ricci-flat metrics on non-compact Kahler manifolds whose conical singularity is repaired by the Hermitian symmetric space. These manifolds can be identified as the complex line bundles over the Hermitian symmetric spaces. Each of the metrics contains a resolution parameter which controls the size of these base manifolds, and the conical singularity appears when the parameter vanishes.

Source: http://arxiv.org/abs/hep-th/0108084v3

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67

Sep 18, 2013
09/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

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We construct the non-compact Calabi-Yau manifolds interpreted as the complex line bundles over the Hermitian symmetric spaces. These manifolds are the various generalizations of the complex line bundle over CP^{N-1}. Imposing an F-term constraint on the line bundle over CP^{N-1}, we obtain the line bundle over the complex quadric surface Q^{N-2}. On the other hand, when we promote the U(1) gauge symmetry in CP^{N-1} to the non-abelian gauge group U(M), the line bundle over the Grassmann...

Source: http://arxiv.org/abs/hep-th/0110216v2

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Sep 18, 2013
09/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta

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We present a simple derivation of the Ricci-flat Kahler metric and its Kahler potential on the canonical line bundle over arbitrary Kahler coset space equipped with the Kahler-Einstein metric.

Source: http://arxiv.org/abs/hep-th/0202064v2

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Sep 19, 2013
09/13

by
Kiyoshi Higashijima; Tetsuji Kimura; Muneto Nitta; Makoto Tsuzuki

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We investigate non-perturbative structures of the two-dimensional N=2 supersymmetric nonlinear sigma model on the quadric surface Q^{n-2}(C) = SO(n)/SO(n-2)xU(1), which is a Hermitian symmetric space, and therefore Kahler, by using the auxiliary field and large-n methods. This model contains two kinds of non-perturbatively stable vacua; one of them is the same vacuum as that of supersymmetric CP^{n-1} model, and the other is a new kind of vacuum, which has not yet been known to exist in...

Source: http://arxiv.org/abs/hep-th/0010272v2

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164

Jul 20, 2013
07/13

by
Machiko Hatsuda; Tetsuji Kimura

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We present an extension of the Courant bracket to the ones for Dp-branes by analyzing Hamiltonians and local superalgebras. Contrast to the basis of the bracket for a fundamental string which consists of the momentum and the winding modes, the ones for Dp-branes contain higher rank R-R coupling tensors. We show that the R-R gauge transformation rules are obtained by these Courant brackets for Dp-branes where the Dirac-Born-Infeld gauge field and the "two-vierbein field" play an...

Source: http://arxiv.org/abs/1203.5499v4

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2.0

Jun 28, 2018
06/18

by
Tetsuji Kimura

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We study two-dimensional ${\cal N}=(2,2)$ gauge theory and its dualized system in terms of complex (linear) superfields and their alternatives. Although this technique itself is not new, we can obtain a new model, the so-called "semi-doubled" GLSM. Similar to doubled sigma model, this involves both the original and dual degrees of freedom simultaneously, whilst the latter only contribute to the system via topological interactions. Applying this to the ${\cal N}=(4,4)$ GLSM for...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1512.05548

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40

Sep 18, 2013
09/13

by
Tetsuji Kimura

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We study various topological invariants on a torsional geometry in the presence of a totally anti-symmetric torsion H under the closed condition dH = 0, which appears in string theory compactification scenarios. By using the identification between the Clifford algebra on the geometry and the canonical quantization condition of fermions in quantum mechanics, we construct N=1 quantum mechanical sigma model in the Hamiltonian formalism. We extend this model to N=2 system, equipped with the totally...

Source: http://arxiv.org/abs/0704.2111v4

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Sep 23, 2013
09/13

by
Tetsuji Kimura

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We consider flux vacua attractor equations in type IIA string theory compactified on generalized geometries with orientifold projections. The four-dimensional N=1 superpotential in this compactification can be written as the sum of the Ramond-Ramond superpotential and a term described by (non)geometric flux charges. We exhibit a simple model in which supersymmetric AdS and Minkowski solutions are classified by means of discriminants of the two superpotentials. We further study various...

Source: http://arxiv.org/abs/0810.0937v4

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2.0

Jun 30, 2018
06/18

by
Tetsuji Kimura

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We study a local description of composite five-branes of codimension two. The formulation is constructed by virtue of $SL(2,{\mathbb Z}) \times SL(2,{\mathbb Z)}$ monodromy associated with two-torus. Applying conjugate monodromy transformations to the complex structures of the two-torus, we obtain a field configuration of a defect $(p,q)$ five-brane. This is a composite state of $p$ defect NS5-branes and $q$ exotic $5^2_2$-branes. We also obtain a new example of hyper-K\"{a}hler geometry....

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1410.8403

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94

Jul 19, 2013
07/13

by
Tetsuji Kimura

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We investigate extremal Reissner-Nordstrom-AdS black holes in four-dimensional N=2 abelian gauged supergravity. We find a new attractor equation which is not reduced to the one in the asymptotically flat spacetime. Focusing on so-called the T^3-model with a single neutral vector multiplet, we obtain non-supersymmetric extremal Reissner-Nordstrom-AdS black hole solutions with regular event horizon in the D0-D4 and the D2-D6 charge configurations. The negative cosmological constant emerges even...

Source: http://arxiv.org/abs/1005.4607v3

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51

Sep 22, 2013
09/13

by
Tetsuji Kimura

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We study one class of linear sigma models and their T-dualized theories for noncompact Calabi-Yau manifolds. In the low energy limit, we find that this system has various massless effective theories with orbifolding symmetries. This phenomenon is new and there are no analogous structures in the models for compact Calabi-Yau manifolds and for line bundles on the simple toric varieties.

Source: http://arxiv.org/abs/hep-th/0409003v1

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44

Sep 17, 2013
09/13

by
Tetsuji Kimura

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One has believed that low energy effective theories of the Higgs branch of gauged linear sigma models correspond to supersymmetric nonlinear sigma models, which have been already investigated by many works. In this paper we discuss a explicit derivation of supersymmetric nonlinear sigma models from gauged linear sigma models. In this process we construct Kahler potentials of some two-dimensional toric varieties explicitly. Thus we will be able to study some algebraic varieties in the language...

Source: http://arxiv.org/abs/hep-th/0305072v4

9
9.0

Jun 28, 2018
06/18

by
Tetsuji Kimura

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We study a supergauge transformation of a complex superfield which generates a chiral superfield in two-dimensional ${\cal N}=(2,2)$ theory. This complex superfield is referred to as the prepotential of the chiral superfield. Since there exist redundant component fields in the prepotential, we remove some of them by a gauge-fixing condition. This situation is parallel to that of a vector superfield. In order to obtain a suitable configuration of the GLSM for the exotic five-brane which gives...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1506.05005

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44

Sep 21, 2013
09/13

by
Tetsuji Kimura

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In this doctoral thesis we study zero-mode spectra of Matrix theory and eleven-dimensional supergravity on the plane-wave background. This background is obtained via the Penrose limit of AdS_4 x S^7 and AdS_7 x S^4. The plane-wave background is a maximally supersymmetric spacetime supported by non-vanishing constant four-form flux in eleven-dimensional spacetime. First, we discuss the Matrix theory on the plane-wave background suggested by Berenstein, Maldacena and Nastase. We construct the...

Source: http://arxiv.org/abs/hep-th/0402054v2

3
3.0

Jun 29, 2018
06/18

by
Tetsuji Kimura

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We study the supersymmetry projection rules on exotic branes in type II string theories and M-theory. They justify the validity of the exotic duality between standard branes and exotic branes of codimension two. By virtue of the supersymmetry projection rules on various branes, we can consider a system that involves multiple non-parallel exotic branes in the nongeometric background.

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1601.02175

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52

Sep 21, 2013
09/13

by
Tetsuji Kimura

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We present AdS black hole solutions in four-dimensional N=2 gauged supergravity with the universal hypermultiplet. Here the axion field in this multiplet is dualized to a two-form field. This system is derived from ten-dimensional massive type IIA theory compactified on nearly-Kahler manifold in the presence of geometric fluxes and RR-fluxes. In this work we focus on the simplest coset space G_2/SU(3). Imposing the covariantly constant condition on all scalar fields, we obtain AdS black hole...

Source: http://arxiv.org/abs/1108.1113v2

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66

Sep 23, 2013
09/13

by
Tetsuji Kimura

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We study gauged linear sigma models for noncompact Calabi-Yau manifolds described as a line bundle on a hypersurface in a projective space. This gauge theory has a unique phase if the Fayet-Iliopoulos parameter is positive, while there exist two distinct phases if the parameter is negative. We find four massless effective theories in the infrared limit, which are related to each other under the Calabi-Yau/Landau-Ginzburg correspondence and the topology change. In the T-dual theory, on the other...

Source: http://arxiv.org/abs/hep-th/0411258v3

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77

Jul 20, 2013
07/13

by
Tetsuji Kimura

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We study static, spherically symmetric black hole solutions in four-dimensional N=2 gauged supergravity with one vector multiplet and one hyper-tensor multiplet. This is derived from massive type IIA theory compactified on the nearly-Kahler coset space G2/SU(3). It is well-known that the Romans' mass parameter yields the Stuckelberg-type deformation of the gauge field strengths in the four-dimensional system. This deformation requires that all the (covariant) derivatives of the scalar fields...

Source: http://arxiv.org/abs/1203.1544v2

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2.0

Jun 29, 2018
06/18

by
Tetsuji Kimura

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Applying string dualities to F-theory, we obtain various $[p,q]$-branes whose constituents are standard branes of codimension two and exotic branes. We construct junctions of the exotic five-branes and their Hanany-Witten transitions associated with those in F-theory. In this procedure, we understand the monodromy of the single $5^2_2$-brane. We also find the objects which are sensitive to the branch cut of the $5^2_2$-brane. Considering the web of branes in the presence of multiple exotic...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1602.08606

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12

Jun 27, 2018
06/18

by
Tetsuji Kimura

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We study two-dimensional ${\cal N}=(4,4)$ gauged linear sigma model (GLSM). Its low energy effective theory is a nonlinear sigma model whose target space gives rise to a configuration of five-branes in string theory. In this article we focus on sigma models for NS5-branes, KK5-branes and an exotic $5^2_2$-brane. In particular, we carefully analyze the GLSM for an exotic $5^2_2$-brane whose background configuration is multi-valued. The exotic $5^2_2$-brane is a concrete example of nongeometric...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1503.08635

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2.0

Jun 29, 2018
06/18

by
Tetsuji Kimura; Anupam Mazumdar; Toshifumi Noumi; Masahide Yamaguchi

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We construct $\mathcal{N}=1$ supersymmetric nonlocal theories in four dimension. We discuss higher derivative extensions of chiral and vector superfields, and write down generic forms of K\"ahler potential and superpotential up to quadratic order. We derive the condition in which an auxiliary field remains non-dynamical, and the dynamical scalars and fermions are free from the ghost degrees of freedom. We also investigate the nonlocal effects on the supersymmetry breaking and find that...

Topics: High Energy Physics - Theory, General Relativity and Quantum Cosmology

Source: http://arxiv.org/abs/1608.01652

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60

Sep 22, 2013
09/13

by
Tetsuji Kimura; Kentaroh Yoshida

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We calculate the spectrum of the linearized supergravity around the maximally supersymmetric pp-wave background in eleven dimensions. The resulting spectrum agrees with that of zero-mode Hamiltonian of a supermembrane theory on the pp-wave background. We also discuss the connection with the Kaluza-Klein zero modes of AdS_4 x S^7 background.

Source: http://arxiv.org/abs/hep-th/0307193v2

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2.0

Jun 30, 2018
06/18

by
Tetsuji Kimura; Masaya Yata

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We develop the duality transformation rules in two-dimensional theories in the superfield formalism. Even if the chiral superfield which we dualize involves an F-term, we can dualize it by virtue of the property of chiral superfields. We apply the duality transformation rule of the neutral chiral superfield to the ${\cal N}=(4,4)$ gauged linear sigma model for five-branes. We also investigate the duality transformation rule of the charged chiral superfield in the ${\cal N} = (4,4)$ gauged...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1406.0087

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3.0

Jun 30, 2018
06/18

by
Tetsuji Kimura; Masaya Yata

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We construct yet another ${\mathcal N}=(4,4)$ gauged linear sigma model for the $A_N$-type ALE space. In our construction the toric data of the ALE space are manifest. Due to the $SU(2)_R$ symmetry, the F-term is automatically determined. The toric data, which govern the K\"{a}hler structures of the ALE space, are embedded into $U(1)$ charges of charged hypermultiplets. The F-term is also inevitable to determine the complex structures of the ALE space. In the IR limit, we obtain the...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1402.5580

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66

Sep 21, 2013
09/13

by
Tetsuji Kimura; Mitsuhisa Ohta; Kei-Jiro Takahashi

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We investigate Type II orientifolds on non-factorizable torus with and without its oribifolding. We explicitly calculate the Ramond-Ramond tadpole from string one-loop amplitudes, and confirm that the consistent number of orientifold planes is directly derived from the Lefschetz fixed point theorem. We furthermore classify orientifolds on non-factorizable Z_N x Z_M orbifolds, and construct new supersymmetric Type IIA orientifold models on them.

Source: http://arxiv.org/abs/0712.2281v2

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Sep 18, 2013
09/13

by
Tetsuji Kimura; Piljin Yi

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In heterotic flux compactification with supersymmetry, three different connections with torsion appear naturally, all in the form $\omega+a H$. Supersymmetry condition carries $a=-1$, the Dirac operator has $a=-1/3$, and higher order term in the effective action involves $a=1$. With a view toward the gauge sector, we explore the geometry with such torsions. After reviewing the supersymmetry constraints and finding a relation between the scalar curvature and the flux, we derive the squared form...

Source: http://arxiv.org/abs/hep-th/0605247v3

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116

Jul 20, 2013
07/13

by
Tetsuji Kimura; Shin Sasaki

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We study an N=(4,4) supersymmetric gauged linear sigma model which gives rise to the nonlinear sigma model for multi-centered KK-monopoles. We find a new T-duality transformation of the model even in the presence of F-terms. Performing T-duality, we find the gauged linear sigma model whose IR limit describes the exotic 522-brane with B-field.

Source: http://arxiv.org/abs/1304.4061v4

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9.0

Jun 30, 2018
06/18

by
Tetsuji Kimura; Shin Sasaki; Masaya Yata

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We investigate a five-branes interpretation of hyper-K\"{a}hler geometry with torsion (HKT). This geometry is obtained by conformal transformation of the Taub-NUT space which represents a Kaluza-Klein five-brane. This HKT would represent an NS5-brane on the Taub-NUT space. In order to explore the HKT further, we compactify one transverse direction, and study the $O(2,2;{\mathbb Z}) = SL(2,{\mathbb Z}) \times SL(2,{\mathbb Z})$ monodromy structure associated with two-torus. Performing the...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1411.3457

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5.0

Jun 30, 2018
06/18

by
Tetsuji Kimura; Shin Sasaki; Masaya Yata

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We construct world-volume effective actions of exotic $5^2_2$-branes in type IIA and IIB string theories. The effective actions are given in fully space-time covariant forms with two Killing vectors associated with background isometries. The effective theories are governed by the six-dimensional $\mathcal{N}=(2,0)$ tensor multiplet and $\mathcal{N}=(1,1)$ vector multiplet, respectively. Performing the S-duality transformation to the $5^2_2$-brane effective action in type IIB string theory, we...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1404.5442

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4.0

Jun 29, 2018
06/18

by
Tetsuji Kimura; Shin Sasaki; Masaya Yata

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We study the world-volume effective action of an exotic five-brane, known as the M-theory 5${}^3$-brane (M5${}^3$-brane) in eleven dimensions. The supermultiplet of the world-volume theory is the $\mathcal{N} = (2, 0)$ tensor multiplet in six dimensions. The world-volume action contains three Killing vectors $\hat{k}_{\hat{I}} {}^M \ (\hat{I} =1,2,3)$ associated with the $U(1)^3$ isometry. We find the effective T-duality rule for the eleven-dimensional backgrounds that transforms the M5-brane...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1601.05589

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Sep 21, 2013
09/13

by
Tetsuji Kimura; Shun'ya Mizoguchi

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We show that there exist two 27 and one 27bar of E6, net one chiral supermultiplet as zero modes localized on the intersecting 5-branes in the E8 x E8 heterotic string theory. A heterotic background is constructed by the standard embedding in the smeared solution, and the Dirac equation is solved explicitly on this background. It provides, after a compactification of some of the transverse dimensions, a Randall-Sundrum II like brane-world set-up in heterotic string theory.

Source: http://arxiv.org/abs/0905.2185v5

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Sep 17, 2013
09/13

by
Tetsuji Kimura; Shun'ya Mizoguchi

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We show that there exist two 27 and one 27 bar of E6, net one D=4, N=1 chiral matter supermultiplet as zero modes localized on the intersection of two 5-branes in the E8 x E8 heterotic string theory. The smeared intersecting 5-brane solution is used via the standard embedding to construct a heterotic background, which provides, after a compactification of some of the transverse dimensions, a five-dimensional Randall-Sundrum II like brane-world set-up in heterotic string theory. As a by-product,...

Source: http://arxiv.org/abs/0912.1334v2