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Jun 30, 2018
06/18

Jun 30, 2018
by
Machiko Hatsuda; Kiyoshi Kamimura; Warren Siegel

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A superspace with manifest T-duality including Ramond-Ramond gauge fields is presented. The superspace is defined by the double nondegenerate super-Poincare algebras where Ramond-Ramond 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 Green-Schwarz superstring action is also presented where the Wess-Zumino term is given in a bilinear...

Topic: High Energy Physics - Theory

Source: http://arxiv.org/abs/1411.2206

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Jun 30, 2018
06/18

Jun 30, 2018
by
Machiko Hatsuda; Kiyoshi Kamimura; Warren Siegel

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A superspace formulation of type II superstring background with manifest T-duality symmetry is presented. This manifestly T-dual formulation is constructed in a space spanned by two sets of nondegenerate super-Poincare algebra. Supertorsion constraints are obtained from consistency of the kappa-symmetric 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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Jun 28, 2018
06/18

Jun 28, 2018
by
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 T-duality symmetry. We present gauge invariant bosonic and superstring actions preserving the two-dimensional diffeomorphism invariance and the kappa-symmetry 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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Sep 22, 2013
09/13

Sep 22, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura

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We present the covariant BRST quantization of the super-D-string. The non-vanishing supersymmetric U(1) field strength ${\cal F}$ is essential for the covariant quantization of the super-D-string as well as for its static picture. A SO(2) parameter parametrizes a family of local supersymmetric (kappa symmetric) systems including the super-D-string with ${\cal F}\ne 0$ and the Green-Schwarz superstring with ${\cal F}= 0$. We suggest that $E^1$ (canonical conjugate of U(1) gauge field) plays a...

Source: http://arxiv.org/abs/hep-th/9708001v2

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Sep 22, 2013
09/13

Sep 22, 2013
by
Machiko Hatsuda; Makoto Sakaguchi

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The Green-Siegel 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/hep-th/0001214v2

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Sep 22, 2013
09/13

Sep 22, 2013
by
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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Sep 22, 2013
09/13

Sep 22, 2013
by
Machiko Hatsuda; Yu-tin Huang; Warren Siegel

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We present simple first-class-constraint actions and BRST operators for the 4D N=4 superparticle. Each generation of ghosts has 2 super-indices, like the coordinates. The constraints that define projective superspace close in a super Yang-Mills background due to the presence of a (non-central) U(1) generator in the algebra.

Source: http://arxiv.org/abs/0812.4569v2

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Sep 22, 2013
09/13

Sep 22, 2013
by
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 pp-wave backgrounds, and compare them before and after T-duality transformation. In the flat background the set of nonlocal charges is the same before and after the T-duality transformation with interchanging odd and even-order charges. In the IIB pp-wave background an infinite number of nonlocal charges are independent, contrast to that in a flat background only the zero-th and first order charges...

Source: http://arxiv.org/abs/hep-th/0603097v1

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Sep 22, 2013
09/13

Sep 22, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura

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We analyze the anti-de 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 kappa-transformations, infinite reducibility and kappa-gauge fixing conditions. A closed first class constraint set for the AdS superparticle is GL(4|4) covariant and keeping superconformal symmetry manifestly. For the AdS superstring...

Source: http://arxiv.org/abs/hep-th/0106202v1

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Sep 22, 2013
09/13

Sep 22, 2013
by
Machiko Hatsuda; Makoto Sakaguchi

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We examine a Wess-Zumino term, written in bilinear of superinvariant currents, for a superstring in anti-de Sitter (AdS) space. The standard Inonu-Wigner contraction does not give the correct flat limit but gives zero. This originates from the fact that the fermionic metric of the super-Poincare group is degenerate. We propose a generalization of the Inonu-Wigner contraction which reduces the super-AdS group to the "nondegenerate" super-Poincare group, therefore it gives a correct...

Source: http://arxiv.org/abs/hep-th/0106114v3

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Sep 22, 2013
09/13

Sep 22, 2013
by
Machiko Hatsuda; Makoto Sakaguchi

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We examine a bilinear form Wess-Zumino term for a superstring in anti-de 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 pseudo-superinvariance of the Wess-Zumino term. The covariant supercharge commutator containing a string charge is also obtained.

Source: http://arxiv.org/abs/hep-th/0205092v2

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Sep 21, 2013
09/13

Sep 21, 2013
by
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/hep-th/0311002v1

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Sep 21, 2013
09/13

Sep 21, 2013
by
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 Roiban-Siegel formulation of the superstring on the AdS_5 x S^5, we carefully treat the Wess-Zumino term and the constraint conditions intrinsic to the supersymmetric case, and construct explicitly non-local charges for a hidden infinite-dimensional symmetry. The existence of the symmetry is shown by Bena-Polchinski-Roiban. Then the super Yangian algebra is calculated. We also show the...

Source: http://arxiv.org/abs/hep-th/0407044v3

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Sep 21, 2013
09/13

Sep 21, 2013
by
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 super-Schwinger 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(2,2|4)/OSp(4|4) for the AdS/CFT superstring.

Source: http://arxiv.org/abs/0709.4605v3

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Sep 20, 2013
09/13

Sep 20, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura; Makoto Sakaguchi

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Maximally supersymmetric spacetime algebras in eleven-dimensions, which are the isometry superalgebras of Minkowski space, AdS_7 x S^4, AdS_4 x S^7 and pp-wave background, are related by Inonu-Wigner contractions. The super-AdS_{4(7)} x S^{7(4)} algebras allow to introduce two contraction parameters, the one for the flat limit to the super-Poincare algebra and the other for a Penrose limit to the super-pp-wave algebra. Under these contractions supersymmetries are maintained because the Jacobi...

Source: http://arxiv.org/abs/hep-th/0204002v1

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Sep 20, 2013
09/13

Sep 20, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura

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We show that Wess-Zumino terms for D-p branes with p>0 in the Anti-de Sitter (AdS) space are given in terms of "left-invariant" currents on the super-AdS group or the "expanded" super-AdS group. As a result there is no topological extension of the super-AdS 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 D-instanton is described by...

Source: http://arxiv.org/abs/hep-th/0405202v3

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Sep 19, 2013
09/13

Sep 19, 2013
by
Machiko Hatsuda

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We show that the stress-energy 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 right-invariant current which is the Noether current satisfying the flatness condition. The Wess-Zumino term is taken into account through the supersymmetric gauge connection in the right-invariant currents, therefore the obtained stress-energy tensor is kappa invariant. The integrability of...

Source: http://arxiv.org/abs/hep-th/0507047v3

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Sep 19, 2013
09/13

Sep 19, 2013
by
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. Brane-antibrane annihilation scenarios are described by these...

Source: http://arxiv.org/abs/hep-th/0010189v2

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Sep 19, 2013
09/13

Sep 19, 2013
by
Machiko Hatsuda

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We derive anticommutators of supercharges with a brane charge for a D-particle in AdS(2) x S(2) and pp-wave backgrounds. A coset GL(2|2)/(GL(1))^4 and its Penrose limit are used with the supermatrix-valued coordinates for the AdS and the pp-wave 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/hep-th/0302027v1

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Sep 19, 2013
09/13

Sep 19, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura

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We present Wess-Zumino actions for general IIA D-p-branes in explicit forms. We perform the covariant and irreducible separation of the fermionic constraints of IIA D-p-branes 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/hep-th/9804087v1

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Sep 18, 2013
09/13

Sep 18, 2013
by
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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Sep 18, 2013
09/13

Sep 18, 2013
by
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 Inonu-Wigner contractions of the super-AdS_5xS^5 algebra. The super-AdS_5xS^5 algebra allows introducing two contraction parameters; the one for the Penrose limit to the maximally supersymmetric pp-wave 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/hep-th/0202190v2

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Sep 18, 2013
09/13

Sep 18, 2013
by
Mitsuko Abe; Machiko Hatsuda; Kiyoshi Kamimura; Takashi Tokunaga

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We propose a type IIB super-Poincare 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 Majorana-spinor doublet (supercharges) and a Rarita-Schwinger central charge generate a group, G. We consider a coset G/H where H=(SO(2) x Lorentz), and the SL(2,R) 2-form doublet is obtained by the coset construction. It is shown that U(1) connections, whose strengths are associated with 2-forms, are recognized as coordinates of the...

Source: http://arxiv.org/abs/hep-th/9903234v1

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Sep 18, 2013
09/13

Sep 18, 2013
by
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 $osp(1|2)$, $su(2|1)$ and $psu(2|2)$. 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/hep-th/0306251v2

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Sep 17, 2013
09/13

Sep 17, 2013
by
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 Ramond-Ramond (RR) five-form flux. The Wess-Zumino 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 kappa-symmetry, are obtained. Equations of motion are obtained in...

Source: http://arxiv.org/abs/hep-th/0207157v2

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Sep 17, 2013
09/13

Sep 17, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura; Makoto Sakaguchi

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We construct an Anti-de Sitter(AdS) algebra in a nondegenerate superspace. Based on this algebra we construct a covariant kappa-symmetric superstring action, and we examine its dynamics: Although this action reduces to the usual Green-Schwarz superstring action in flat limit, the auxiliary fermionic coordinates of the nondegenerate superspace becomes dynamical in the AdS background.

Source: http://arxiv.org/abs/hep-th/0007009v3

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Jul 20, 2013
07/13

Jul 20, 2013
by
Kiyoshi Kamimura; Machiko Hatsuda

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We find Wess-Zumino actions for kappa invariant IIB D-branes 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 Wess-Zumino 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/hep-th/9712068v2

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Jul 20, 2013
07/13

Jul 20, 2013
by
Machiko Hatsuda; Yoji Michishita

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We construct a kappa symmetric WZNW model for the OSp(2|2) 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 right-moving modes contain both bosons and fermions while the left-moving modes contain only bosons.

Source: http://arxiv.org/abs/0804.1831v2

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Jul 20, 2013
07/13

Jul 20, 2013
by
Machiko Hatsuda; Kiyoshi Kamimura; Sayaka Sekiya

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We find general non-linear lagrangians of a U(1) field invariant under electric-magnetic 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 Born-Infeld theory.

Source: http://arxiv.org/abs/hep-th/9906103v2

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Jul 20, 2013
07/13

Jul 20, 2013
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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Jul 20, 2013
07/13

Jul 20, 2013
by
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