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We review the spinor moving frame formulations and generalized action principle for super-p-branes, describe in detail the superembedding approach to superstring in general type IIB supergravity background and present the complete…

High Energy Physics - Theory · Physics 2009-04-30 Igor A. Bandos

In this lectures we outline the construction of pure spinor superstrings. We consider both the open and closed pure spinor superstrings in critical and noncritical dimensions and on flat and curved target spaces with RR flux. We exhibit the…

High Energy Physics - Theory · Physics 2010-11-30 Yaron Oz

We point out the existence of some simple string solitons in AdS_5 x S^5, which at the same time are spinning in AdS_5 and pulsating in S^5, or vice-versa. This introduces an additional arbitrary constant into the scaling relations between…

High Energy Physics - Theory · Physics 2009-11-10 A. Khan , A. L. Larsen

We discuss two semiclassical string solutions on AdS_5\times S_5. In the first case, we consider a multiwrapped circular string pulsating in the radial direction of AdS_5, but fixed to a point on the S_5. We compute the energy of this…

High Energy Physics - Theory · Physics 2010-04-05 Joseph A. Minahan

The the duality between ${\cal N}=4$ SYM and the AdS$_5\times\;$S$^5$ superstring appears to enjoy quantum integrability in the planar limit, which allowed to devise powerful methods ostensibly solving the spectral problem. However,…

High Energy Physics - Theory · Physics 2016-11-08 Martin Heinze

The pure spinor formalism for the superstring can be formulated as a twisted N=2 worldsheet theory with fermionic generators $j_{BRST}$ and composite $b$ ghost. After untwisting the formalism to an N=1 worldsheet theory with fermionic…

High Energy Physics - Theory · Physics 2016-07-20 Nathan Berkovits

Although the AdS_5xS^5 worldsheet action is not quadratic, some features of the pure spinor formalism are simpler in an AdS_5xS^5 background than in a flat background. The BRST operator acts geometrically, the left and right-moving pure…

High Energy Physics - Theory · Physics 2009-09-28 Nathan Berkovits

We review the recent advances towards finding the spectrum of the AdS_5 x S^5 superstring. We thoroughly explain the theoretical techniques which should be useful for the ultimate solution of the spectral problem. In certain cases our…

High Energy Physics - Theory · Physics 2015-05-13 Gleb Arutyunov , Sergey Frolov

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

On-shell supergravity vertex operators in an $AdS_5\times S^5$ background are described in the pure spinor formalism by the zero mode cohomology of a BRST operator. After expanding the pure spinor BRST operator in terms of the $AdS_5$…

High Energy Physics - Theory · Physics 2015-06-12 Nathan Berkovits , Thiago Fleury

We present supergravity solution for F-string in pp wave background obtained from AdS4 X CP3 with zero flat directions.The classical solution is shown to break all space-time supersymmetries. We explicitly write down the standard as well as…

High Energy Physics - Theory · Physics 2017-01-17 Gourav Banerjee , Binata Panda

We discuss some new simple closed bosonic string solutions in AdS_5 x S^5 that may be of interest in the context of AdS/CFT duality. In the first part of this work we consider solutions with two spins (S_1, S_2) in AdS_5. Starting from the…

High Energy Physics - Theory · Physics 2011-04-27 E. M. Murchikova

Using the pure spinor formalism for the superstring in an $AdS_5\times S^5$ background, a simple expression is found for half-BPS vertex operators. At large radius, these vertex operators reduce to the usual supergravity vertex operators in…

High Energy Physics - Theory · Physics 2019-09-04 Nathan Berkovits

We examine the BRS invariance of the open pure spinor superstring in the presence of background superfields on a Dp-brane. It is shown that the BRS invariance leads not only to boundary conditions on the spacetime spinors, but also to…

High Energy Physics - Theory · Physics 2019-08-14 Sota Hanazawa , Makoto Sakaguchi

The tree-level operator product expansion coefficients of the matter currents are calculated in the pure spinor formalism for type IIB superstring in the AdS(5)*S(5) background.

High Energy Physics - Theory · Physics 2009-11-11 Valentina Giangreco M. Puletti

In this work, we investigate off-shell supersymmetric string configurations in Euclidean Ad$\mathbb{S}_5\times \mathbb{S}^5$ background. By extending the Green-Schwarz supersymmetric equations using the pure spinor formalism, we demonstrate…

High Energy Physics - Theory · Physics 2025-04-08 Lucas N. S. Martins

This review is devoted to the classical integrability of the AdS5xS5 superstring theory. It starts with a reminder of the corresponding action as a coset model. The symmetries of this action are then reviewed. The classical integrability is…

High Energy Physics - Theory · Physics 2015-05-20 Marc Magro

We demonstrate the equivalence between the worldsheet one-loop partition functions computed near classical string solutions in the Green-Schwarz and in the pure-spinor formulations of superstrings in AdS(5) x S(5). While their bosonic…

High Energy Physics - Theory · Physics 2015-06-12 Alessandra Cagnazzo , Dmitri Sorokin , Arkady A. Tseytlin , Linus Wulff

A long standing problem is the supergauge completion of AdS_4 x (G/H)_7 or AdS_5 x (G/H)_5 backgrounds which preserve less then maximal supersymmetry. In parallel with the supersolvable realization of the AdS_4 x S^7 background based on…

High Energy Physics - Theory · Physics 2008-11-26 Pietro Fré , Pietro Antonio Grassi

In this Letter, we explore nonrelativistic string solutions in various subsectors of the $ SU(1,2|3) $ SMT strings that correspond to different spin groups and satisfy the respective BPS bounds. In particular, we carry out an explicit…

High Energy Physics - Theory · Physics 2021-07-14 Dibakar Roychowdhury