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Related papers: Boundary Bethe ansatz in massless AdS3

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The integrable open-boundary conditions for the model of three coupled one-dimensional XY spin chains are considered in the framework of the quantum inverse scattering method. The diagonal boundary K-matrices are found and a class of…

Statistical Mechanics · Physics 2009-10-30 Anthony J. Bracken , Xiang-Yu Ge , Yao-Zhong Zhang , Huan-Qiang Zhou

We obtain the reflected entropy for bipartite mixed state configurations involving two disjoint and adjacent subsystems in two dimensional boundary conformal field theories (BCFT$_2$s) in a black hole background. The bulk dual is described…

High Energy Physics - Theory · Physics 2024-05-10 Debarshi Basu , Himanshu Chourasiya , Vinayak Raj , Gautam Sengupta

We propose a Quantum Spectral Curve for planar string theory on AdS3*S3*S3*S1 supported by pure Ramond-Ramond flux. Our proposal is built on symmetry considerations and integrability-based functional relations. To test our construction, we…

High Energy Physics - Theory · Physics 2025-11-14 Filipp Chernikov , Simon Ekhammar , Nikolay Gromov , Benjamin Smith

We rewrite the worldsheet torus partition function of the Thermal AdS CFT by isolating the boundary parameters. Using this, we show that the spectrum of the Euclidean BTZ black hole and Lorentzian AdS3 can be extracted -- the latter as a…

High Energy Physics - Theory · Physics 2023-03-29 Roshan Kaundinya , Omkar Nippanikar , Akash Singh , K. P. Yogendran

We solve the $A_{2n}^{(2)}$ vertex model with all kinds of diagonal reflecting matrices by using the algebraic Behe ansatz, which includes constructing the multi-particle states and achieving the eigenvalue of the transfer matrix and…

High Energy Physics - Theory · Physics 2010-02-03 G. L. Li , K. J. Shi , R. H. Yue

We show that $3$-dimensional AdS spacetime can be semiclassically unstable due to strongly interacting quantum field effects. In our previous paper, we have pointed out the possibility of such an instability of AdS$_3$ by inspecting linear…

High Energy Physics - Theory · Physics 2023-12-19 Akihiro Ishibashi , Kengo Maeda , Takashi Okamura

We study deformations of the model by Henneaux, Mart\'inez, Troncoso and Zanelli [arXiv:hep-th/0201170] which features asymptotically AdS$_3$ black hole solutions that incorporate the exact backreaction of a scalar field. The presence of…

High Energy Physics - Theory · Physics 2025-12-25 Nele Callebaut , Blanca Hergueta , Ruben Monten , Matteo Selle

We compute the anomalous dimension for a short single-trace operator in planar ABJM theory at intermediate coupling. This is done by solving numerically the set of Thermodynamic Bethe Ansatz equations which are expected to describe the…

High Energy Physics - Theory · Physics 2015-03-19 Fedor Levkovich-Maslyuk

The problem of calculating of the mass spectrum of the two-body Bethe-Salpeter equation is studied with no reduction to the three-dimensional ("quasipotential") equation. The method to find the ground state and excited states for a channel…

High Energy Physics - Phenomenology · Physics 2015-06-25 A. Yu. Umnikov , F. C. Khanna

The connected wedge theorem states that in order to have a scattering process in the bulk, it is necessary to have $O(1/G_N)$ mutual information between certain "decision" regions in the boundary theory. While this large mutual information…

High Energy Physics - Theory · Physics 2026-01-15 Jacqueline Caminiti , Caroline Lima , Robert C. Myers

We diagonalize the double-row transfer matrix of the SU(N) vertex model for certain classes of non-diagonal boundary conditions. We derive explicit expressions for the corresponding eigenvectors and eigenvalues by means of the algebraic…

Exactly Solvable and Integrable Systems · Physics 2009-11-10 W. Galleas , M. J. Martins

We consider the integrable open XX quantum spin chain with nondiagonal boundary terms. We derive an exact inversion identity, using which we obtain the eigenvalues of the transfer matrix and the Bethe Ansatz equations. For generic values of…

High Energy Physics - Theory · Physics 2008-11-26 Rafael I. Nepomechie

We study the exact spectrum of the AdS4/CFT3 duality put forward by Aharony, Bergman, Jafferis and Maldacena (ABJM). We derive thermodynamic Bethe ansatz (TBA) equations for the planar ABJM theory, starting from "mirror" asymptotic Bethe…

High Energy Physics - Theory · Physics 2010-07-06 Nikolay Gromov , Fedor Levkovich-Maslyuk

We study boundary structure of asymptotically AdS gravity and (gauge) fields defined on this background by employing the gauge PDE approach. The essential step of the construction is the incorporation of the boundary-defining function among…

Mathematical Physics · Physics 2025-12-09 Maxim Grigoriev , Mikhail Markov

An open supersymmetric t-J chain with boundary fields is studied by means of the Bethe Ansatz. Ground state properties for the case of an almost half-filled band and a bulk magnetic field are determined. Boundary susceptibilities are…

Condensed Matter · Physics 2016-08-31 Fabian H. L. Essler

Integrable boundary states can be built up from pair annihilation amplitudes called $K$-matrices. These amplitudes are related to mirror reflections and they both satisfy Yang Baxter equations, which can be twisted or untwisted. We relate…

High Energy Physics - Theory · Physics 2020-12-02 Tamas Gombor , Zoltan Bajnok

We study integrable models solvable by the nested algebraic Bethe ansatz and possessing GL(3)-invariant R-matrix. We obtain determinant representations for form factors of off-diagonal entries of the monodromy matrix. These representations…

Mathematical Physics · Physics 2015-06-18 S. Pakuliak , E. Ragoucy , N. A. Slavnov

We study bosons in a one-dimensional hard-wall box potential. In the case of contact interaction, the system is exactly solvable by the Bethe ansatz, as first shown by Gaudin in 1971. Although contained in the exact solution, the boundary…

We show that the semiclassical limit of thermodynamic Bethe Ansatz equations naturally reconstructs the algebro-geometric spectra of finite-gap periodic potentials. This correspondence is illustrated using the traveling-wave (snoidal)…

High Energy Physics - Theory · Physics 2026-04-22 Valdemar Melin , Paul Wiegmann , Konstantin Zarembo

In this paper we study isotropic integrable systems based on the braid-monoid algebra. These systems constitute a large family of rational multistate vertex models and are realized in terms of the B_n, C_n and D_n Lie algebra and by the…

High Energy Physics - Theory · Physics 2009-10-30 M. J. Martins , P. B. Ramos