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Related papers: Exploring the mirror TBA

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We discuss the description of generic excited states in the quantum deformed AdS_5 x S^5 mirror thermodynamic Bethe ansatz and derive the associated Y-system. This Y-system shows an interesting new feature; it depends explicitly on the…

High Energy Physics - Theory · Physics 2015-06-11 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

We use the Thermodynamic Bethe Ansatz equations for the AdS_5 \times S^5 mirror model to derive the five-loop anomalous dimension of the Konishi operator. We show numerically that the corresponding result perfectly agrees with the one…

High Energy Physics - Theory · Physics 2014-11-20 Gleb Arutyunov , Sergey Frolov , Ryo Suzuki

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 derive the ground state thermodynamic Bethe ansatz equations for the quantum deformation of the AdS_5 x S^5 mirror model, taking the deformation parameter to be a root of unity. By virtue of the deformation, the resulting equations show…

High Energy Physics - Theory · Physics 2012-10-18 Gleb Arutyunov , Marius de Leeuw , Stijn J. van Tongeren

The mirror TBA equations proposed by Arutyunov, Suzuki and the author are solved numerically up to 't Hooft's coupling $\lambda\approx 2340$ for several two-particle states dual to ${\cal N}=4$ SYM operators from the $\sl(2)$ sector. The…

High Energy Physics - Theory · Physics 2015-06-03 Sergey Frolov

TBA equations for two-particle states from the sl(2) sector proposed by Arutyunov, Suzuki and the author are solved numerically for the Konishi operator descendent up to 't Hooft's coupling lambda ~ 2046. The data obtained is used to…

High Energy Physics - Theory · Physics 2011-01-20 Sergey Frolov

We derive the perturbative five loop anomalous dimension of the Konishi operator in N = 4 SYM theory from the integrable string sigma model by evaluating finite size effects using Luscher formulas adapted to multimagnon states at weak…

High Energy Physics - Theory · Physics 2009-12-15 Zoltan Bajnok , Arpad Hegedus , Romuald A. Janik , Tomasz Lukowski

We analyze the Thermodynamic Bethe Ansatz equations for the mirror model which determine the ground state energy of the light-cone AdS_5 x S^5 superstring living on a cylinder. The light-cone momentum of string is equal to the circumference…

High Energy Physics - Theory · Physics 2014-11-20 Sergey Frolov , Ryo Suzuki

We suggest an approach to the problem of finding integral equations for the excited states of an integrable model, starting from the Thermodynamic Bethe Ansatz equations for its ground state. The idea relies on analytic continuation through…

High Energy Physics - Theory · Physics 2011-05-05 Patrick Dorey , Roberto Tateo

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

Following our earlier work in arXiv:0906.4294 we show how to use semiclassical string quantization approach to compute the leading corrections to the energy of AdS_5 x S^5 string states on the first excited string level that should…

High Energy Physics - Theory · Physics 2011-10-18 R. Roiban , A. A. Tseytlin

Using the thermodynamical Bethe ansatz method we derive an infinite set of integral non-linear equations for the spectrum of states/operators in AdS/CFT. The Y-system conjectured in arXiv:0901.3753 for the spectrum of all operators in…

High Energy Physics - Theory · Physics 2015-05-13 Nikolay Gromov , Vladimir Kazakov , Andrii Kozak , Pedro Vieira

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

In a recent letter we presented the equations which describe tensionless limit of the excited-state spectrum for strings on $AdS_3\times S^3\times T^4$ supported by Ramond-Ramond flux, and their numerical solution. In this paper, we give a…

High Energy Physics - Theory · Physics 2023-11-27 Alberto Brollo , Dennis le Plat , Alessandro Sfondrini , Ryo Suzuki

The spectrum of the light-cone AdS_5 \times S^5 superstring contains states composed of particles with complex momenta including in particular those which turn into bound states in the decompactification limit. We propose the mirror TBA…

High Energy Physics - Theory · Physics 2015-06-19 Gleb Arutyunov , Sergey Frolov , Stijn J. van Tongeren

The study of finite J effects for the light-cone AdS superstring by means of the Thermodynamic Bethe Ansatz requires an understanding of a companion 2d theory which we call the mirror model. It is obtained from the original string model by…

High Energy Physics - Theory · Physics 2009-06-10 Gleb Arutyunov , Sergey Frolov

This note is a supplement to our previous papers: Mod. Phys. Lett. A14 (1999) 2427 (math-ph/9911010); Int. J. Mod. Phys. A15 (2000) 2329 (math-ph/9912014). The thermodynamic Bethe ansatz (TBA) equation for an integrable spin chain related…

Statistical Mechanics · Physics 2009-10-31 Kazumitsu Sakai , Zengo Tsuboi

We analyze the Thermodynamic Bethe Ansatz (TBA) for various integrable S-matrices in the context of generalized $T\bar T$ deformations. We focus on the sinh-Gordon model and its elliptic deformation in both its fermionic and bosonic…

High Energy Physics - Theory · Physics 2022-01-26 Lucía Córdova , Stefano Negro , Fidel I. Schaposnik Massolo

We consider the massive tricritical Ising model M(4,5) perturbed by the thermal operator phi_{1,3} in a cylindrical geometry and apply integrable boundary conditions, labelled by the Kac labels (r,s), that are natural off-critical…

High Energy Physics - Theory · Physics 2009-10-31 Paul A. Pearce , Leung Chim , Changrim Ahn

We consider leading strong coupling corrections to the energy of the lightest massive string modes in AdS_5 x S^5, which should be dual to members of the Konishi operator multiplet in N=4 SYM theory. This determines the general structure of…

High Energy Physics - Theory · Physics 2011-10-18 R. Roiban , A. A. Tseytlin
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