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We find classical closed string solutions to the non-relativistic AdS$_5\times$S$^5$ string theory which are the analogue of the BMN and GKP solutions for the relativistic theory. We show that non-relativistic AdS$_5\times$S$^5$ string…

High Energy Physics - Theory · Physics 2022-02-03 Andrea Fontanella , Juan Miguel Nieto García

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

Motivated by attempts to extend AdS/CFT duality to non-BPS states we consider classical closed string solutions with several angular momenta in different directions of AdS_5 and S^5. We find a novel solution describing a circular closed…

High Energy Physics - Theory · Physics 2009-09-17 S. Frolov , A. A. Tseytlin

In this paper, we present several gravitational wave solutions in AdS_5 X S^5 string backgrounds, as well as in AdS_7 X S^4 and AdS_4 X S^7 backgrounds in M-theory, generalizing the results of hep-th/0403253 by one of the authors. In each…

High Energy Physics - Theory · Physics 2011-07-19 Alok Kumar , Hari K. Kunduri

We review basic examples of classical string solutions in AdS5xS5. We concentrate on simplest rigid closed string solutions of circular or folded type described by integrable 1-d Neumann system but mention also various generalizations and…

High Energy Physics - Theory · Physics 2015-03-17 A. A. Tseytlin

We discuss an interplay between T-duality and integrability for certain classical non-linear sigma models. In particular, we consider strings on the AdS_5 x S^5 background and perform T-duality along the four isometry directions of AdS_5 in…

High Energy Physics - Theory · Physics 2009-09-17 Riccardo Ricci , Arkady A. Tseytlin , Martin Wolf

We study the scaling law of the energy spectrum of classical strings on AdS_5 x S^5, in particular, in the SL(2) sector for large S (AdS spin) and fixed J (S^1 \subset S^5 spin). For any finite gap solution, we identify the limit in which…

High Energy Physics - Theory · Physics 2008-11-26 Kazuhiro Sakai , Yuji Satoh

Recently, Freyhult, Rej and Staudacher (FRS) proposed an integral equation determining the leading logarithmic term of the anomalous dimension of sl(2) twist-operators in N=4 SYM for large Lorentz spin M and twist L at fixed j = L/log(M).…

High Energy Physics - Theory · Physics 2011-06-02 Matteo Beccaria

For the case of two particles a solution of the string field theory vertex axioms can be factorized into a standard form factor and a kinematical piece which includes the dependence on the size of the third string. In this paper we…

High Energy Physics - Theory · Physics 2016-03-23 Zoltan Bajnok , Romuald A. Janik

We study the class of pulsating strings in AdS_5 x T^{1,1}. Using a generalized ansatz for pulsating string configurations we find new solutions of this class. Further we semiclassically quantize the theory and obtain the first correction…

High Energy Physics - Theory · Physics 2015-05-19 D. Arnaudov , H. Dimov , R. C. Rashkov

We review a special class of semiclassical string states in AdS_5 x S^5 which have a regular expansion of their energy in integer powers of the ratio of the square of string tension (`t Hooft coupling) and the square of large angular…

High Energy Physics - Theory · Physics 2007-05-23 A. A. Tseytlin

Integrability of the string worldsheet theory in AdS(5) x S(5) is related to the existence of a flat connection depending on the spectral parameter. The transfer matrix is the open-ended Wilson line of this flat connection. We study the…

High Energy Physics - Theory · Physics 2008-11-26 Andrei Mikhailov , Sakura Schafer-Nameki

We revisit the computation of the 2-loop correction to the energy of a folded spinning string in AdS_5 with an angular momentum J in S^5 in the scaling limit log S, J >>1 with J / log S fixed. This correction gives the third term in the…

High Energy Physics - Theory · Physics 2014-11-20 S. Giombi , R. Ricci , R. Roiban , A. A. Tseytlin , C. Vergu

Quantum non-local charges are central to the quantum integrability of a sigma-model. In this paper we study the quantum consistency and UV finiteness of non-local charges of string theory in AdS(5)xS(5). We use the pure spinor formalism. We…

High Energy Physics - Theory · Physics 2007-09-18 Andrei Mikhailov , Sakura Schafer-Nameki

Recently, a gauged linear sigma model was proposed by Berkovits and Vafa which can be used to describe the AdS_5xS^5 superstring at finite and zero radius. In this paper we show that the model is classically integrable by constructing its…

High Energy Physics - Theory · Physics 2009-11-13 William D. Linch , Brenno Carlini Vallilo

These lectures present an introduction to AdS-CFT, and are intended both for begining and more advanced graduate students, which are familiar with quantum field theory and have a working knowledge of their basic methods. Familiarity with…

High Energy Physics - Theory · Physics 2007-12-20 Horatiu Nastase

Understanding finite-size effects is one of the key open questions in solving planar AdS/CFT. In this paper we discuss these effects in the AdS_5xS^5 string theory at one-loop in the world-sheet coupling. First we provide a very general,…

High Energy Physics - Theory · Physics 2011-03-02 Nikolay Gromov , Sakura Schafer-Nameki , Pedro Vieira

We discuss 2d duality transformations in the classical AdS5 x S5 superstring and their effect on the integrable structure. T-duality along four directions in Poincare parametrization of AdS5 maps the bosonic part of the superstring action…

High Energy Physics - Theory · Physics 2008-12-30 Niklas Beisert , Riccardo Ricci , Arkady Tseytlin , Martin Wolf

We construct nonrelativistic spinning string solutions corresponding to $ SU(1,2|3) $ Spin-Matrix theory (SMT) limit of strings in $ AdS_5 \times S^5 $. Considering various nonrelativistic spinning string configurations both in $ AdS_5 $ as…

High Energy Physics - Theory · Physics 2020-11-11 Dibakar Roychowdhury

We study semiclassical string solutions on the 1/2 BPS geometry of type IIB string theory characterized by concentric rings on the boundary plane. We consider both folded rotating strings carrying nonzero R-charge and circular pulsating…

High Energy Physics - Theory · Physics 2010-02-03 Hajar Ebrahim , Amir E. Mosaffa