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We discuss a quantum deformation of the Green-Schwarz superstring on flat space, arising as a contraction limit of the corresponding deformation of AdS_5 x S^5. This contraction limit turns out to be equivalent to a previously studied limit…

High Energy Physics - Theory · Physics 2016-01-26 Anna Pachol , Stijn J. van Tongeren

In a certain kinematic limit, where the effects of spacetime curvature (and other background fields) greatly simplify, the light-cone gauge world-sheet action for a type IIB superstring on AdS_5 x S^5 reduces to that of a free field theory.…

High Energy Physics - Theory · Physics 2012-08-27 Curtis G. Callan, , Hok Kong Lee , Tristan McLoughlin , John H. Schwarz , Ian Swanson , Xinkai Wu

We first apply the transformation of mixing azimuthal and internal coordinate or mixing time and internal coordinate to the 11D M-theory with a stack N M2-branes to find the spacetime of a stack of N D2-branes with magnetic or electric flux…

High Energy Physics - Theory · Physics 2008-11-26 Wung-Hong Huang

Bosonic and RNS chiral strings have been defined from a singular gauge fixing of the respective Polyakov and spinning string actions, enforcing, among other things, the finite nature of their physical spectra. Except for the heterotic case,…

High Energy Physics - Theory · Physics 2021-12-22 Max Guillen

We consider the Pohlmeyer-reduced formulation of the AdS_5 x S^5 superstring. It is constructed by introducing new variables which are algebraically related to supercoset current components so that the Virasoro conditions are automatically…

High Energy Physics - Theory · Physics 2009-09-28 B. Hoare , Y. Iwashita , A. A. Tseytlin

We consider the $AdS$ Veneziano amplitude describing the scattering of four gluons in type IIB string theory on $AdS_5 \times S^3$. We propose a set of powerful monodromy relations between different colour-ordered amplitudes. These…

High Energy Physics - Theory · Physics 2025-09-04 Luis F. Alday , Rodrigo S. Pitombo , Aurélie Strömholm Sangaré

The kappa-symmetry-fixed Green-Schwarz action in the AdS_5 x S^5 background is treated canonically in a version of the light-cone gauge. After reviewing the generalized light-cone gauge for a bosonic sigma model, we present the Hamiltonian…

High Energy Physics - Theory · Physics 2008-11-26 H. Itoyama , T. Oota

We discuss general properties of classical string field theories with symmetric vertices in the context of deformation theory. For a given conformal background there are many string field theories corresponding to different decomposition of…

High Energy Physics - Theory · Physics 2015-06-26 Hiroshige Kajiura

It is here explained how the Green-Schwarz superstring theory arises from Matrix String Theory. This is obtained as the strong YM-coupling limit of the theory expanded around its BPS instantonic configurations, via the identification of the…

High Energy Physics - Theory · Physics 2009-10-31 G. Bonelli

In this article we continue the classical analysis of the symmetry algebra underlying the integrability of the spectrum in the AdS_5/CFT_4 and in the Hubbard model. We extend the construction of the quasi-triangular Lie bialgebra gl(2|2) by…

High Energy Physics - Theory · Physics 2024-01-22 Niklas Beisert , Egor Im

Interesting deformations of AdS_5 x S^5 such as the gravity dual of noncommutative SYM and Sch\"odinger spacetimes have recently been shown to be integrable. We clarify questions regarding the reality and integrability properties of the…

High Energy Physics - Theory · Physics 2015-06-19 Stijn J. van Tongeren

In this introductory review we discuss dynamical tests of the AdS_5 x S^5 string/N=4 super Yang-Mills duality. After a brief introduction to AdS/CFT we argue that semiclassical string energies yield information on the quantum spectrum of…

High Energy Physics - Theory · Physics 2015-06-26 Jan Plefka

An S-matrix satisying the Yang-Baxter equation with symmetries relevant to the AdS_5xS^5 superstring has recently been determined up to an unknown scalar factor. Such scalar factors are typically fixed using crossing relations, however due…

High Energy Physics - Theory · Physics 2008-11-26 Romuald A. Janik

An important problem in the theory of cluster algebras is to compute the fundamental group of the exchange graph. A non-trivial closed loop in the exchange graph, for example, generates a non-trivial identity for the classical and quantum…

Quantum Algebra · Mathematics 2020-02-26 Hyun Kyu Kim , Masahito Yamazaki

In this note we expose some surprising connections between string theory and statistical inference. We consider a large collective of agents sweeping out a family of nearby statistical models for an M-dimensional manifold of statistical…

High Energy Physics - Theory · Physics 2013-07-25 Jonathan J. Heckman

A general class of deformations of integrable sigma-models with symmetric space F/G target-spaces are found. These deformations involve defining the non-abelian T dual of the sigma-model and then replacing the coupling of the Lagrange…

High Energy Physics - Theory · Physics 2015-06-22 Timothy J. Hollowood , J. Luis Miramontes , David M. Schmidtt

Using information from the marginality conditions of vertex operators for the AdS_5 x S^5 superstring, we determine the structure of the dependence of the energy of quantum string states on their conserved charges and the string tension…

High Energy Physics - Theory · Physics 2013-05-30 M. Beccaria , S. Giombi , G. Macorini , R. Roiban , A. A. Tseytlin

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

Motivated by the notorious difficulties in determining the first quantum corrections to the spectrum of short strings in AdS_5xS^5 from first principles, we study closed bosonic strings in this background employing a static gauge. In this…

High Energy Physics - Theory · Physics 2015-06-17 Sergey Frolov , Martin Heinze , George Jorjadze , Jan Plefka

Semiclassical spinning string states in AdS_5 are, in general, characterised by the three SO(2,4) conserved charges: the energy E and the two spins S_1 and S_2. We discuss several examples of explicit classical solutions for rigid closed…

High Energy Physics - Theory · Physics 2013-05-29 A. Tirziu , A. A. Tseytlin
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