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Machiko Hatsuda; Warren Siegel
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We generalize the construction of Snyder to a Lorentz covariant noncommutative superspace.
Source: http://arxiv.org/abs/hepth/0311002v1
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Machiko Hatsuda; Kiyoshi Kamimura; Warren Siegel
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A superspace with manifest Tduality including RamondRamond gauge fields is presented. The superspace is defined by the double nondegenerate superPoincare algebras where RamondRamond charges are introduced by central extension. This formalism allows a simple treatment that all the supergravity multiplets are in a vielbein superfield and all torsions with dimension 1 and less are trivial. A GreenSchwarz superstring action is also presented where the WessZumino term is given in a bilinear...
Topic: High Energy Physics  Theory
Source: http://arxiv.org/abs/1411.2206
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Machiko Hatsuda; Kiyoshi Kamimura
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The "projective lightcone limit" has been proposed as an alternative holographic dual of an AdS space. It is a new type of group contraction for a coset G/H preserving the isometry group G but changing H. In contrast to the usual group contraction, which changes G preserving the spacetime dimension, it reduces the dimensions of the spacetime on which G is realized. The obtained space is a projective space on which the isometry is realized as a linear fractional transformation. We...
Source: http://arxiv.org/abs/0707.0326v2
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Machiko Hatsuda; Kiyoshi Kamimura; Makoto Sakaguchi
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Maximally supersymmetric spacetime algebras in elevendimensions, which are the isometry superalgebras of Minkowski space, AdS_7 x S^4, AdS_4 x S^7 and ppwave background, are related by InonuWigner contractions. The superAdS_{4(7)} x S^{7(4)} algebras allow to introduce two contraction parameters, the one for the flat limit to the superPoincare algebra and the other for a Penrose limit to the superppwave algebra. Under these contractions supersymmetries are maintained because the Jacobi...
Source: http://arxiv.org/abs/hepth/0204002v1
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Machiko Hatsuda; Kiyoshi Kamimura
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We present WessZumino actions for general IIA Dpbranes in explicit forms. We perform the covariant and irreducible separation of the fermionic constraints of IIA Dpbranes into the first class and the second class. A necessary condition which guarantees this separation is discussed. The generators of the local supersymmetry (kappa symmetry) and the kappa algebra are obtained. We also explicitly calculate the conserved charge of the global supersymmetry (SUSY) and the SUSY algebra which...
Source: http://arxiv.org/abs/hepth/9804087v1
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Machiko Hatsuda; Makoto Sakaguchi
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Open superstring theory is formulated in terms of a nondegenerate supertranslation algebra. A supercharge for a tachyonic superstring can be also defined classically by taking into account the leakage of the supercurrent which is compensated by fermionic and bosonic auxiliary fields. The anticommutator of two supercharges of the tachyonic superstring does not contain the zero eigenvalue and so this string is not a BPS state. Braneantibrane annihilation scenarios are described by these...
Source: http://arxiv.org/abs/hepth/0010189v2
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We derive anticommutators of supercharges with a brane charge for a Dparticle in AdS(2) x S(2) and ppwave backgrounds. A coset GL(22)/(GL(1))^4 and its Penrose limit are used with the supermatrixvalued coordinates for the AdS and the ppwave spaces respectively. The brane charges have position dependence, and can be absorbed into bosonic generators by shift of momenta which results in closure of the superalgebras.
Source: http://arxiv.org/abs/hepth/0302027v1
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Machiko Hatsuda; Kiyoshi Kamimura
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We analyze the antide Sitter (AdS) superparticle and superstring systems described in terms of supermatrix valued coordinates proposed by Roiban and Siegel. This approach gives simple symmetry transformations and equations of motion. We examine their kappatransformations, infinite reducibility and kappagauge fixing conditions. A closed first class constraint set for the AdS superparticle is GL(44) covariant and keeping superconformal symmetry manifestly. For the AdS superstring...
Source: http://arxiv.org/abs/hepth/0106202v1
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Machiko Hatsuda; Kiyoshi Kamimura
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We show that WessZumino terms for Dp branes with p>0 in the Antide Sitter (AdS) space are given in terms of "leftinvariant" currents on the superAdS group or the "expanded" superAdS group. As a result there is no topological extension of the superAdS algebra. In the flat limit the global Lorentz rotational charges of the AdS space turn out to be brane charges of the supertranslation algebra representing the BPS mass. We also show that a Dinstanton is described by...
Source: http://arxiv.org/abs/hepth/0405202v3
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Machiko Hatsuda; Kiyoshi Kamimura; Warren Siegel
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A superspace formulation of type II superstring background with manifest Tduality symmetry is presented. This manifestly Tdual formulation is constructed in a space spanned by two sets of nondegenerate superPoincare algebra. Supertorsion constraints are obtained from consistency of the kappasymmetric Virasoro constraints. All superconnections and vielbein fields are solved in terms of a prepotential which is one of the vielbein components. AdS5xS5 background is explained in this formulation.
Topic: High Energy Physics  Theory
Source: http://arxiv.org/abs/1403.3887
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Kiyoshi Kamimura; Machiko Hatsuda
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We find WessZumino actions for kappa invariant IIB Dbranes in the explicit form. A simple and compact expression is obtained by the grace of spinor variables which are defined as power series of differential forms. Once explicit form of the WessZumino actions is determined, global supersymmetry (SUSY) charges and constraint equations including local supersymmetry (kappa) generators can be determined. The SUSY algebra and the central charges are also calculated explicitly.
Source: http://arxiv.org/abs/hepth/9712068v2
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Machiko Hatsuda; Warren Siegel
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We clarify some properties of projective superspace by using a manifestly superconformal notation. In particular, we analyze the N=2 scalar multiplet in detail, including its action, and the propagator and its superSchwinger parameters. The internal symmetry is taken to be noncompact (after Wick rotation), allowing boundary conditions that preserve it off shell. Generalization to N=4 suggests the coset superspace PSU(2,24)/OSp(44) for the AdS/CFT superstring.
Source: http://arxiv.org/abs/0709.4605v3
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Machiko Hatsuda; Makoto Sakaguchi
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The GreenSiegel central extension of superalgebras for BPS branes is studied. In these cases commutators of usual bosonic brane charges only with the broken supersymmetry charges allow this central extension. We present an interpretation of these fermionic central charges as fermionic brane charges, and show that they take nonzero values for a nontrivial fermionic boundary condition. Such fermionic coordinates solutions are determined by equations of motion in a suitable gauge condition which...
Source: http://arxiv.org/abs/hepth/0001214v2
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Machiko Hatsuda; Kentaroh Yoshida
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We discuss a classical integrability in the type IIB string theory on the AdS_5 x S^5 background. By using the RoibanSiegel formulation of the superstring on the AdS_5 x S^5, we carefully treat the WessZumino term and the constraint conditions intrinsic to the supersymmetric case, and construct explicitly nonlocal charges for a hidden infinitedimensional symmetry. The existence of the symmetry is shown by BenaPolchinskiRoiban. Then the super Yangian algebra is calculated. We also show the...
Source: http://arxiv.org/abs/hepth/0407044v3
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Machiko Hatsuda; Yoji Michishita
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We construct a kappa symmetric WZNW model for the OSp(22) supergroup, whose bosonic part is AdS3xS1 space. The field equation gives the chiral current conservation and the right/left factorization is shown after the kappa symmetry is fixed. The rightmoving modes contain both bosons and fermions while the leftmoving modes contain only bosons.
Source: http://arxiv.org/abs/0804.1831v2
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Machiko Hatsuda; Kiyoshi Kamimura; Makoto Sakaguchi
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The isometry algebras of the maximally supersymmetric solutions of IIB supergravity are derived by the InonuWigner contractions of the superAdS_5xS^5 algebra. The superAdS_5xS^5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric ppwave algebra and the AdS_5xS^5 radius for the flat limit. The fact that the Jacobi identity of three supercharges holds irrespectively of these parameters reflects the fact that the number of...
Source: http://arxiv.org/abs/hepth/0202190v2
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Machiko Hatsuda; Makoto Sakaguchi
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We examine a bilinear form WessZumino term for a superstring in antide Sitter (AdS) spaces. This is composed of two parts; a bilinear term in superinvariant currents and a total derivative bilinear term which is required for the pseudosuperinvariance of the WessZumino term. The covariant supercharge commutator containing a string charge is also obtained.
Source: http://arxiv.org/abs/hepth/0205092v2
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Machiko Hatsuda; Kiyoshi Kamimura; Warren Siegel
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We present affine Lie algebras generated by the supercovariant derivatives and the supersymmetry generators for the left and right moving modes in the doubled space. Chirality is manifest in our doubled space as well as the Tduality symmetry. We present gauge invariant bosonic and superstring actions preserving the twodimensional diffeomorphism invariance and the kappasymmetry where doubled spacetime coordinates are chiral fields. The doubled space becomes the usual space by dimensional...
Topic: High Energy Physics  Theory
Source: http://arxiv.org/abs/1507.03061
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Machiko Hatsuda; Tetsuji Kimura
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We present an extension of the Courant bracket to the ones for Dpbranes 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 Dpbranes contain higher rank RR coupling tensors. We show that the RR gauge transformation rules are obtained by these Courant brackets for Dpbranes where the DiracBornInfeld gauge field and the "twovierbein field" play an...
Source: http://arxiv.org/abs/1203.5499v4
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Machiko Hatsuda; Kentaroh Yoshida
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We construct infinite number of conserved nonlocal charges for type IIB superstring on the AdS5xS5 space in the conformal gauge without assuming any kappa gauge fixing, and show that they satisfy the super Yangian algebra. The resultant algebra is the same as our previous work, where a special gauge was assumed in such a way that the Noether current satisfies a flatness condition. However the flatness condition for the Noether current of a superstring on the AdS space is broken in general. We...
Source: http://arxiv.org/abs/1107.4673v2
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Machiko Hatsuda; Shun'ya Mizoguchi
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We obtain sets of infinite number of conserved nonlocal charges of strings in a flat space and ppwave backgrounds, and compare them before and after Tduality transformation. In the flat background the set of nonlocal charges is the same before and after the Tduality transformation with interchanging odd and evenorder charges. In the IIB ppwave background an infinite number of nonlocal charges are independent, contrast to that in a flat background only the zeroth and first order charges...
Source: http://arxiv.org/abs/hepth/0603097v1
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Machiko Hatsuda; Makoto Sakaguchi
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We examine a WessZumino term, written in bilinear of superinvariant currents, for a superstring in antide Sitter (AdS) space. The standard InonuWigner contraction does not give the correct flat limit but gives zero. This originates from the fact that the fermionic metric of the superPoincare group is degenerate. We propose a generalization of the InonuWigner contraction which reduces the superAdS group to the "nondegenerate" superPoincare group, therefore it gives a correct...
Source: http://arxiv.org/abs/hepth/0106114v3
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We show that the stressenergy tensor for a superstring in the AdS5xS5 background is written in a supersymmetric generalized "Sugawara" form. It is the "supertrace" of the square of the rightinvariant current which is the Noether current satisfying the flatness condition. The WessZumino term is taken into account through the supersymmetric gauge connection in the rightinvariant currents, therefore the obtained stressenergy tensor is kappa invariant. The integrability of...
Source: http://arxiv.org/abs/hepth/0507047v3
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Machiko Hatsuda; Kiyoshi Kamimura
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We present the covariant BRST quantization of the superDstring. The nonvanishing supersymmetric U(1) field strength ${\cal F}$ is essential for the covariant quantization of the superDstring as well as for its static picture. A SO(2) parameter parametrizes a family of local supersymmetric (kappa symmetric) systems including the superDstring with ${\cal F}\ne 0$ and the GreenSchwarz superstring with ${\cal F}= 0$. We suggest that $E^1$ (canonical conjugate of U(1) gauge field) plays a...
Source: http://arxiv.org/abs/hepth/9708001v2
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Machiko Hatsuda; Kiyoshi Kamimura; Makoto Sakaguchi
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We construct an Antide Sitter(AdS) algebra in a nondegenerate superspace. Based on this algebra we construct a covariant kappasymmetric superstring action, and we examine its dynamics: Although this action reduces to the usual GreenSchwarz superstring action in flat limit, the auxiliary fermionic coordinates of the nondegenerate superspace becomes dynamical in the AdS background.
Source: http://arxiv.org/abs/hepth/0007009v3
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Machiko Hatsuda; Kiyoshi Kamimura; Makoto Sakaguchi
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We present a gauge invariant action for a superstring in the plane wave background with RamondRamond (RR) fiveform flux. The WessZumino term is given explicitly in a bilinear form of the left invariant currents by introducing a fermionic center to define the nondegenerate group metric. The reparametrization invariance generators, whose combinations are conformal generators, and fermionic constraints, half of which generate kappasymmetry, are obtained. Equations of motion are obtained in...
Source: http://arxiv.org/abs/hepth/0207157v2
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Machiko Hatsuda; Satoshi Iso; Hiroshi Umetsu
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By using graded (super) Lie algebras, we can construct noncommutative superspace on curved homogeneous manifolds. In this paper, we take a flat limit to obtain flat noncommutative superspace. We particularly consider $d=2$ and $d=4$ superspaces based on the graded Lie algebras $osp(12)$, $su(21)$ and $psu(22)$. Jacobi identities of supersymmetry algebras and associativities of star products are automatically satisfied. Covariant derivatives which commute with supersymmetry generators are...
Source: http://arxiv.org/abs/hepth/0306251v2
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Mitsuko Abe; Machiko Hatsuda; Kiyoshi Kamimura; Takashi Tokunaga
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We propose a type IIB superPoincare algebra with SO(2,1) covariant central extension. Together with SO(2,1) and SO(9,1) generators, a SO(2,1) triplet (momenta), a Majoranaspinor doublet (supercharges) and a RaritaSchwinger central charge generate a group, G. We consider a coset G/H where H=(SO(2) x Lorentz), and the SL(2,R) 2form doublet is obtained by the coset construction. It is shown that U(1) connections, whose strengths are associated with 2forms, are recognized as coordinates of the...
Source: http://arxiv.org/abs/hepth/9903234v1
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Machiko Hatsuda; Kiyoshi Kamimura; Sayaka Sekiya
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We find general nonlinear lagrangians of a U(1) field invariant under electricmagnetic duality. They are characterized by an arbitrary function and go to the Maxwell theory in the weak field limit. We give some explicit examples which are generalizations of the BornInfeld theory.
Source: http://arxiv.org/abs/hepth/9906103v2
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Machiko Hatsuda; Shinya Tomizawa
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We provide a simple derivation of metrics for fundamental geometrical deformations such as Hopf fibration, squashing and Z_k quotient which play essential roles in recent studies on the AdS4/CFT3. A general metric formula of Hopf fibrations for complex and quaternion cosets is presented. Squashing is given by a similarity transformation which changes the metric preserving the isometry symmetry of the projective space. On the other hand Z_k quotient is given as a lens space which changes the...
Source: http://arxiv.org/abs/0906.1025v2
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Machiko Hatsuda; Yutin Huang; Warren Siegel
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We present simple firstclassconstraint actions and BRST operators for the 4D N=4 superparticle. Each generation of ghosts has 2 superindices, like the coordinates. The constraints that define projective superspace close in a super YangMills background due to the presence of a (noncentral) U(1) generator in the algebra.
Source: http://arxiv.org/abs/0812.4569v2