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The ground-state energy of integrably-twisted theories is analyzed in finite volume. We derive the leading and next-to-leading order (NLO) L\"uscher-type corrections for large volumes of the vacuum energy for integrable theories with…

High Energy Physics - Theory · Physics 2015-05-30 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

Starting with a discussion of the general applicability of the simplified mirror TBA equations to simple deformations of the AdS_5 x S^5 superstring, we proceed to study a specific type of orbifold to which the undeformed simplified TBA…

High Energy Physics - Theory · Physics 2011-08-08 Marius de Leeuw , Stijn J. van Tongeren

Using the recently proposed set of discontinuity relations we translate the AdS/CFT Y-system to TBA integral equations and quantization conditions for a large subset of excited states from the sl(2) sector of the $AdS_5 \times S^5$ string…

High Energy Physics - Theory · Physics 2015-05-27 Janos Balog , Arpad Hegedus

The sl(2) sector of N=4 SYM theory has been much studied and the anomalous dimensions of those operators are well known. Nevertheless, many interesting operators are not included in this sector. We consider a class of twist operators beyond…

High Energy Physics - Theory · Physics 2012-01-27 CarloAlberto Ratti , Matteo Beccaria , Guido Macorini

We discuss various aspects of excited state TBA equations describing the energy spectrum of the AdS_5 \times S^5 strings and, via the AdS/CFT correspondence, the spectrum of scaling dimensions of N = 4 SYM local operators. We observe that…

High Energy Physics - Theory · Physics 2015-05-27 Gleb Arutyunov , Sergey Frolov

We consider N=4 SYM and a class of spin N, length-3, twist operators beyond the well studied sl(2) subsector. They can be identified at one-loop with three gluon operators. At strong coupling, they are associated with spinning strings with…

High Energy Physics - Theory · Physics 2011-06-20 Matteo Beccaria , Guido Macorini , CarloAlberto Ratti

We prove a useful identity valid for all $ADE$ minimal S-matrices, that clarifies the transformation of the relative thermodynamic Bethe Ansatz (TBA) from its standard form into the universal one proposed by Al.B.Zamolodchikov. By…

High Energy Physics - Theory · Physics 2009-10-22 F. Ravanini , R. Tateo , A. Valleriani

We consider folded spinning strings in AdS_5xS^5 (with one spin component S in AdS_5 and J in S^5) corresponding to the Tr(D^S Z^J) operators in the sl(2) sector of the N=4 SYM theory in the special scaling limit in which both the string…

High Energy Physics - Theory · Physics 2008-11-26 R. Roiban , A. A. Tseytlin

We use the lightcone $AdS_{3}\times S^{3}\times T^{4}$ superstring sigma model with fermions and bosons subject to twisted boundary conditions to find the ground state energy in the semi-classical approximation where effective string…

High Energy Physics - Theory · Physics 2023-05-29 Sergey Frolov , Anton Pribytok , Alessandro Sfondrini

We apply the contour deformation trick to the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model, and obtain the integral equations determining the energy of two-particle excited states dual to N=4 SYM operators from…

High Energy Physics - Theory · Physics 2015-03-13 Gleb Arutyunov , Sergey Frolov , Ryo Suzuki

We give further support to Smirnov's conjecture on the exact kink S-matrix for the massive Quantum Field Theory describing the integrable perturbation of the c=0.7 minimal Conformal Field theory (known to describe the tri-critical Ising…

High Energy Physics - Theory · Physics 2011-02-11 R. M. Ellem , V. V. Bazhanov

We investigate low-energy string excitations in AdS$_3\times$S$^3\times$T$^4$. When the worldsheet is decompactified, the theory has gapless modes whose spectrum at low energies is determined by massless relativistic integrable S matrices…

High Energy Physics - Theory · Physics 2018-12-27 Diego Bombardelli , Bogdan Stefański , Alessandro Torrielli

We compute the exact S-matrix and give the Bethe ansatz solution for three sigma-models which arise as subsectors of string theory in AdS(5)xS(5): Landau-Lifshitz model (non-relativistic sigma-model on S(2)), Alday-Arutyunov-Frolov model…

High Energy Physics - Theory · Physics 2011-02-16 T. Klose , K. Zarembo

We use the recently found integral representation for the dressing phase in the kinematic region of the mirror theory to simplify the TBA equations for the AdS_5 x S^5 mirror model. The resulting set of equations provides an efficient…

High Energy Physics - Theory · Physics 2009-11-13 Gleb Arutyunov , Sergey Frolov

Marginal beta deformations of N=4 super-Yang-Mills theory are known to correspond to a certain class of deformations of the S^5 background subspace of type IIB string theory in AdS_5 x S^5. An analogous set of deformations of the AdS_5…

High Energy Physics - Theory · Physics 2008-11-26 Ian Swanson

We compute the minimal area of a string worldsheet ending on two infinite periodic light-like Wilson lines in the AdS$_3$ boundary, which is dual to the first non-planar correction to the gluon scattering amplitude in $\mathcal{N}=4$ SYM at…

High Energy Physics - Theory · Physics 2022-06-01 Hao Ouyang , Hongfei Shu

We study the quantum Bethe ansatz equations in the O(2n) sigma-model for hysical particles on a circle, with the interaction given by the Zamolodchikovs' S-matrix, in view of its application to quantization of the string on the S^{2n-1} x…

High Energy Physics - Theory · Physics 2008-11-26 Nikolay Gromov , Vladimir Kazakov , Kazuhiro Sakai , Pedro Vieira

We consider high spin, $s$, long twist, $L$, planar operators (asymptotic Bethe Ansatz) of strong ${\cal N}=4$ SYM. Precisely, we compute the minimal anomalous dimensions for large 't Hooft coupling $\lambda$ to the lowest order of the…

High Energy Physics - Theory · Physics 2015-06-03 Davide Fioravanti , Marco Rossi

Studying the scattering of excitations around a dynamical background has a long history in the context of integrable models. The Gubser-Klebanov-Polyakov string solution provides such a background for the string/gauge correspondence. Taking…

High Energy Physics - Theory · Physics 2015-06-16 Benjamin Basso , Adam Rej

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
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