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This is a comprehensive review of the worldsheet techniques for the quantization of type IIB superstring theory on the AdS_5 x S^5 background, using the pure spinor formalism. Particular emphasis is devoted to AdS/CFT applications, with…

High Energy Physics - Theory · Physics 2015-05-27 Luca Mazzucato

We derive from a general formulation of pure spinor string theory on type IIA backgrounds the specific form of the action for the AdS_4 x P^3 background. We provide a complete geometrical characterization of the structure of the superfields…

High Energy Physics - Theory · Physics 2011-09-21 Riccardo D'Auria , Pietro Fre' , Pietro Antonio Grassi , Mario Trigiante

It is proved that a basic superembedding equation for the 2-dimensional worldsheet superspace $\S^{(2|8+8)}$ embedded into D=10 type IIB superspace $M^{(10|16+16)}$ provides a universal, S-duality invariant description of a fundamental…

High Energy Physics - Theory · Physics 2008-11-26 Igor Bandos

We review a geometrical, so called superembedding, approach to the description of the dynamics of point-like and extended supersymmetric objects (superbranes) in String Theory. The approach is based on a supersymmetric extension of the…

High Energy Physics - Theory · Physics 2024-03-12 Igor A. Bandos , Dmitri P. Sorokin

We examine the surface term for the BRST transformation of the open pure spinor superstring in an AdS_5 x S^5 background. We find that the boundary condition to eliminate the surface term leads to a classification of possible configurations…

High Energy Physics - Theory · Physics 2017-01-04 Sota Hanazawa , Makoto Sakaguchi

We study the properties of the vertex operator for the beta-deformation of the superstring in AdS(5) x S(5) in the pure spinor formalism. We discuss the action of supersymmetry on the infinitesimal beta-deformation, the application of the…

High Energy Physics - Theory · Physics 2015-03-17 Oscar A. Bedoya , L. Ibiapina Beviláqua , Andrei Mikhailov , Victor O. Rivelles

The adS_{p+2} x S^{d-p-2} geometry of the near horizon branes is promoted to a supergeometry: the solution of the supergravity constraints for the vielbein, connection and form superfields are found. This supergeometry can be used for the…

High Energy Physics - Theory · Physics 2010-02-03 R. Kallosh , J. Rahmfeld , A. Rajaraman

We examine general properties of superembeddings, i.e., embeddings of supermanifolds into supermanifolds. The connection between an embedding procedure and the method of non-linearly realised supersymmetry is clarified, and we demonstrate…

High Energy Physics - Theory · Physics 2009-10-30 Tom Adawi , Martin Cederwall , Ulf Gran , Magnus Holm , Bengt E. W. Nilsson

We describe the type IIB supergravity background on AdS_{5} X S_{5} using the potentials of AdS_{5|4} X S_{5} and we use the supersolvable algebra associated to AdS_{5|4} to compute the k gauge fixed type IIB string action.

High Energy Physics - Theory · Physics 2010-02-03 I. Pesando

We present a simple form of the Type IIB string action on $AdS_5\times S^5$. The result is achieved by fixing $\kappa$-symmetry in the Killing spinor gauge defined by the projector of the Killing spinor of the D3 brane. We show explicitly…

High Energy Physics - Theory · Physics 2009-10-31 R. Kallosh , J. Rahmfeld

We consider the type IIB Green-Schwarz superstring theory on AdS(2)xS(2)xT(6) supported by homogeneous Ramond-Ramond 5-form flux and its type IIA T-duals. One motivation is to understand the solution of this theory based on integrability.…

High Energy Physics - Theory · Physics 2015-05-27 D. Sorokin , A. Tseytlin , L. Wulff , K. Zarembo

We construct the covariant kappa-symmetric superstring action for a type IIB superstring on AdS_5 x S^5 background. The action is defined as a 2d sigma-model on the coset superspace SU(2,2|4) / SO(4,1) x SO(5) and is shown to be the unique…

High Energy Physics - Theory · Physics 2009-09-17 R. R. Metsaev , A. A. Tseytlin

We briefly review a covariant analysis of D-branes of type IIB superstring on the AdS_5xS^5 background from the \kappa-invariance of the Green-Schwarz string action. The possible configurations of D-branes preserving half of supersymmetries…

High Energy Physics - Theory · Physics 2007-05-23 Makoto Sakaguchi , Kentaroh Yoshida

In this paper we study the pure spinor formulation of the superstring in $AdS_5\times S^5$ around point particle solutions of the classical equations of motion. As a particular example we quantize the pure spinor string in the BMN…

High Energy Physics - Theory · Physics 2015-06-19 Osvaldo Chandia , L. Ibiapina Bevilaqua , Brenno Carlini Vallilo

We perform a generalization of the geometrical approach to describing extended objects for studying the doubly supersymmetric twistor--like formulation of super--p--branes. Some basic features of embedding world supersurface into target…

High Energy Physics - Theory · Physics 2011-07-19 I. Bandos , P. Pasti , D. Sorokin , M. Tonin , D. Volkov

A formulation recently proposed [arXiv:1506.07706] as an alternative to the usual coset PSU(2,2|4)/USp(2,2)USp(4) for the superspace geometry of the Type IIB superstring on an AdS5xS5 background is shown to be a particular parametrization…

High Energy Physics - Theory · Physics 2015-06-29 W. Siegel

A superspace formulation of IIB supergravity which includes the field strengths of the duals of the usual physical one, three and five-form field strengths as well as the eleven-form field strength is given. The superembedding formalism is…

High Energy Physics - Theory · Physics 2009-11-18 E. Bergshoeff , P. S. Howe , S. Kerstan , L. Wulff

We present an integrable deformation of the $AdS_{5}\times S^{5}$ pure spinor action based on homological perturbation theory. Its equations of motion, Lax connection and BRST symmetry are discussed. The resulting model describes a pure…

High Energy Physics - Theory · Physics 2019-02-20 Hector A. Benitez , Victor O. Rivelles

We review the geometrical approach to the description of the dynamics of super-p-branes, Dirichlet branes and the M5-brane, which is based on a generalization of the elements of surface theory to the description of the embedding of…

High Energy Physics - Theory · Physics 2008-11-26 Dmitri Sorokin

We study the general requirement for supersymmetric AdS$_6$ solutions in type IIB supergravity. We employ the Killing spinor technique and study the differential and algebraic relations among various Killing spinor bilinears to find the…

High Energy Physics - Theory · Physics 2020-07-20 Hyojoong Kim , Nakwoo Kim , Minwoo Suh
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