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Related papers: Mirror Thermodynamic Bethe Ansatz for AdS3/CFT2

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We construct a 1-parameter family of Ramond-Ramond fluxes supporting the elliptic $\mathrm{AdS}_3 \times \mathrm{S}^3 \times \mathrm{T}^4$ metric with constant dilaton and preserving 8 of the 16 supercharges of the undeformed background. On…

High Energy Physics - Theory · Physics 2025-10-29 Ben Hoare , Fiona K. Seibold

We derive thermodynamic Bethe ansatz equations describing the vacuum energy of the SU(2N)/Sp(N) nonlinear sigma model on a cylinder geometry. The starting points are the recently-proposed amplitudes for the scattering among the physical,…

High Energy Physics - Theory · Physics 2015-06-26 Andrei Babichenko , Roberto Tateo

We conjecture the Quantum Spectral Curve equations for string theory on $AdS_3 \times S^3 \times T^4$ with RR charge and its CFT$_2$ dual. We show that in the large-length regime, under additional mild assumptions, the QSC reproduces the…

High Energy Physics - Theory · Physics 2022-08-09 Andrea Cavaglià , Nikolay Gromov , Bogdan Stefański , jr. , Alessandro Torrielli

The Bethe equations, arising in description of the spectrum of the dilatation operator for the su(2) sector of the N=4 supersymmetric Yang-Mills theory, are considered in the anti-ferromagnetic regime. These equations are deformation of…

Exactly Solvable and Integrable Systems · Physics 2009-11-19 A. G. Bytsko , I. E. Shenderovich

We study the leading quantum string correction to the dressing phase in the asymptotic Bethe Ansatz system for superstring in AdS_3 x S^3 x T^4 supported by RR flux. We find that the phase should be different from the BES phase appearing in…

High Energy Physics - Theory · Physics 2013-04-24 M. Beccaria , F. Levkovich-Maslyuk , G. Macorini , A. A. Tseytlin

We investigate the type IIA AdS(3) x S(3) x M(4) superstring with M(4)=S(3) x S(1) or M(4)=T(4). String theory in this background is interesting because of AdS3/CFT2 and its newly discovered integrable structures. We derive the kappa…

High Energy Physics - Theory · Physics 2017-08-23 Nitin Rughoonauth , Per Sundin , Linus Wulff

We propose the exact S-matrix for the planar limit of the N=6 super Chern-Simons theory recently proposed by Aharony, Bergman, Jafferis, and Maldacena for the AdS_4/CFT_3 correspondence. Assuming SU(2|2) symmetry, factorizability and…

High Energy Physics - Theory · Physics 2010-02-03 Changrim Ahn , Rafael I. Nepomechie

The thermodynamic Bethe Ansatz equations that have been proposed to describe massive integrable deformations of the coset conformal field theories $g_k\times g_l/g_{k+l}$ are shown to result directly by applying the usual thermodynamic…

High Energy Physics - Theory · Physics 2009-10-22 T. J. Hollowood

We build string backgrounds for Yang-Baxter deformations of the $AdS_4\times\mathbb{CP}^3$ superstring generated by $r$-matrices satisfying the classical Yang-Baxter equation. We obtain the metric and the NS-NS two-form of the gravity dual…

High Energy Physics - Theory · Physics 2021-03-02 Laura Rado , Victor O. Rivelles , Renato Sánchez

We reformulate the nested coordinate Bethe ansatz in terms of coproducts of Yangian symmetry generators. This allows us to derive the nested Bethe equations for the bound state string S-matrices. We find that they coincide with the Bethe…

High Energy Physics - Theory · Physics 2009-01-22 M de Leeuw

In this paper we perform the boundary algebraic Bethe Ansatz for massive representations of the $AdS_3 \times S^3 \times T^4$ integrable system. This is a companion analysis to our study of massless representations \cite{Bielli:2024bve}.…

High Energy Physics - Theory · Physics 2025-06-26 Daniele Bielli , Vasileios Moustakis , Alessandro Torrielli

We find the Yangian symmetry underlying the integrability of type IIB superstrings on $AdS_3 \times S^3 \times S^3 \times S^1$ with mixed Ramond-Ramond and Neveu-Schwarz-Neveu-Schwarz flux. The abstract commutation relations of the Yangian…

High Energy Physics - Theory · Physics 2018-09-26 Antonio Pittelli

We consider various integrable two-parameter deformations of the $AdS_3 \times S^3 \times T^4$ superstring with quantum group symmetry. Working on the string worldsheet in light-cone gauge and to quadratic order in fermions, we obtain their…

High Energy Physics - Theory · Physics 2021-10-04 Fiona K. Seibold , Stijn J. van Tongeren , Yannik Zimmermann

We consider open spinning string solutions on an AdS_4 x S^2-brane (D5-brane) in the bulk AdS_5 x S^5 background. By taking account of the breaking of SO(6)_R to SO(3)_H x SO(3)_V due to the presence of the AdS-brane, the open rotating…

High Energy Physics - Theory · Physics 2009-11-11 Keisuke Okamura , Yastoshi Takayama , Kentaroh Yoshida

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

In this paper we study in detail the deformations introduced in [1] of the integrable structures of the AdS$_{2,3}$ integrable models. We do this by embedding the corresponding scattering matrices into the most general solutions of the…

High Energy Physics - Theory · Physics 2022-05-06 Marius de Leeuw , Anton Pribytok , Ana L. Retore , Paul Ryan

We consider the Bethe ansatz solution of integrable models interacting through factorized $S$-matrices based on the central extention of the $\bf{su}(2|2)$ symmetry. The respective $\bf{su}(2|2)$ $R$-matrix is explicitly related to that of…

High Energy Physics - Theory · Physics 2008-11-26 M. J. Martins , C. S. Melo

We study the deformed supersymmetric quantum mechanics with a polynomial superpotential with $\hbar$ correction. In the minimal chamber, where all turning points are real and distinct, it was shown that the exact Wentzel--Kramers--Brillouin…

High Energy Physics - Theory · Physics 2026-02-16 Katsushi Ito , Hongfei Shu , Jingjing Yang

We determine the off-shell symmetry algebra and representations of Type IIB superstring theory on $AdS_3\times S^3 \times T^4$ with mixed R-R and NS-NS three-form flux. We use these to derive the non-perturbative worldsheet S matrix of…

High Energy Physics - Theory · Physics 2015-05-20 Thomas Lloyd , Olof Ohlsson Sax , Alessandro Sfondrini , Bogdan Stefanski

We generalize various existing higher-loop Bethe ansaetze for simple sectors of the integrable long-range dynamic spin chain describing planar N=4 Super Yang-Mills Theory to the full psu(2,2|4) symmetry and, asymptotically, to arbitrary…

High Energy Physics - Theory · Physics 2008-11-26 Niklas Beisert , Matthias Staudacher
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