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In this thesis we present some computations made in both sides of the AdS/CFT holographic correspondence using the integrability of both theories. Regarding the string theory side, this thesis is focused in the computation of the dispersion…

High Energy Physics - Theory · Physics 2017-12-13 Juan Miguel Nieto

We show that the Lax pair of the pure spinor superstring in AdS5xS5 admits a generalization where the generators of the superconformal algebra are replaced by the generators of some infinite-dimensional Lie superalgebra.

High Energy Physics - Theory · Physics 2013-08-13 Andrei Mikhailov

The S-matrix on the world-sheet theory of the string in AdS5 x S5 has previously been shown to admit a deformation where the symmetry algebra is replaced by the associated quantum group. The case where q is real has been identified as a…

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

This talk begins with some history and basic facts about string theory and its connections with strong interactions. Comparisons of stacks of Dirichlet branes with curved backgrounds produced by them are used to motivate the AdS/CFT…

High Energy Physics - Phenomenology · Physics 2009-05-01 Igor R. Klebanov

We address the novel structures arising in quantum and string integrable theories, as well as construct methods to obtain them and provide further analysis. Specifically, we implement the automorphic symmetries on periodic lattice systems…

High Energy Physics - Theory · Physics 2022-11-01 Anton Pribytok

We review recent progress on the resolution of gravitational singularities in string theory. The main example is the fundamental string in five dimensions which is singular in the standard supergravity description but regular after taking…

High Energy Physics - Theory · Physics 2008-08-07 Finn Larsen

We present new exact solutions describing motions of closed segmented strings in $AdS_3$ in terms of elliptic functions. The existence of analytic expressions is due to the integrability of the classical equations of motion, which in our…

High Energy Physics - Theory · Physics 2016-08-24 Steven S. Gubser , Sarthak Parikh , Przemek Witaszczyk

In this thesis we investigate quantum aspects of the Green-Schwarz superstring in various AdS backgrounds relevant for the AdS/CFT correspondence, providing several examples of perturbative computations in the corresponding integrable…

High Energy Physics - Theory · Physics 2017-02-15 Lorenzo Bianchi

The loop variable technique (for open strings in flat space) is a gauge invariant generalization of the renormalization group method for obtaining equations of motion. Unlike the beta functions, which are only proportional to the equations…

High Energy Physics - Theory · Physics 2008-11-26 B. Sathiapalan

We analyze the Coulomb branch of Matrix string theory in the presence of NS5-branes. If we regard the components of U(1) gauge fields as the dualized longitudinal coordinates, we obtain the symmetric product of AdS_3 x S^3 x R^4 as the…

High Energy Physics - Theory · Physics 2009-10-31 K. Hosomichi , Y. Sugawara

Using analytic techniques developed for Hamiltonian dynamical systems we show that a certain classical string configurations in AdS_5 x X_5 with X_5 in a large class of Einstein spaces, is non-integrable. This answers the question of…

High Energy Physics - Theory · Physics 2011-09-08 Pallab Basu , Leopoldo A. Pando Zayas

We investigate the question of possible integrability of classical string motion in curved p-brane backgrounds. For example, the D3-brane metric interpolates between the flat and the AdS_5 x S^5 regions in which string propagation is…

High Energy Physics - Theory · Physics 2013-03-06 A. Stepanchuk , A. A. Tseytlin

We consider string theory on a background of the form AdS_3 x N. Our aim is to give a description of the dual CFT in a general set up. With the requirement that we have N=2 supersymmetry in spacetime, we provide evidence that the dual CFT…

High Energy Physics - Theory · Physics 2015-06-25 Riccardo Argurio , Amit Giveon , Assaf Shomer

String theory has long ago been initiated by the quest for a theoretical explanation of the observed high-energy ``Reggeization'' of strong interaction amplitudes. In terms of quantum field theory, it is the so-called ``soft'' regime, where…

High Energy Physics - Phenomenology · Physics 2007-05-23 R. Peschanski

We find a new sector of string theory in AdS_5xS^5 describing non-relativistic superstrings in that geometry. The worldsheet theory of non-relativistic strings in AdS_5xS^5 is derived and shown to reduce to a supersymmetric free field…

High Energy Physics - Theory · Physics 2009-11-11 Jaume Gomis , Joaquim Gomis , Kiyoshi Kamimura

It was suggested in hep-th/0002106, that semiclassically, a partition function of a string theory in the 5 dimensional constant negative curvature space with a boundary condition at the absolute satisfy the loop equation with respect to…

High Energy Physics - Theory · Physics 2009-10-31 M. Zyskin

I present the sketch of a "physicist's" derivation of the AdS/CFT correspondence for the original pair, string theory in $AdS_5\times S^5$ vs. ${\cal N}=4$ SYM, based on the pp wave limit, and deviations from it. I show that one can reverse…

High Energy Physics - Theory · Physics 2019-03-04 Horatiu Nastase

In this paper we present semiclassical computations of the splitting of folded spinning strings in AdS_3, which may be of interest in the context of AdS/CFT duality. We start with a classical closed string and assume that it can split on…

High Energy Physics - Theory · Physics 2015-03-19 E. M. Murchikova

We systematically study the spectrum of open strings attached to half BPS giant gravitons in the N=4 SYM AdS/CFT setup. We find that some null trajectories along the giant graviton are actually null geodesics of AdS_5x S^5, so that we can…

High Energy Physics - Theory · Physics 2009-11-11 David Berenstein , Diego H. Correa , Samuel E. Vazquez

We discuss the spectral problem for integrable superstrings on generically twisted AdS_5 x S^5, meaning all its orbifolds and TsT transformed versions. We explicitly give the asymptotic description of these theories through a twisted…

High Energy Physics - Theory · Physics 2015-06-03 Marius de Leeuw , Stijn J. van Tongeren