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Related papers: Boundary Bethe ansatz in massless AdS3

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We study quantum integrable GL(3)-based models with a trigonometric R-matrix solvable by the nested algebraic Bethe ansatz. We derive a determinant representation for a special case of scalar products of Bethe vectors. This representation…

Mathematical Physics · Physics 2015-03-23 N. A. Slavnov

We substantiate a covariant proposal for the holographic reflected entropy in $CFT$s dual to non-static $AdS$ geometries from the bulk extremal entanglement wedge cross section in the literature with explicit computations in the…

High Energy Physics - Theory · Physics 2022-12-27 Mir Afrasiar , Himanshu Chourasiya , Vinayak Raj , Gautam Sengupta

We initiate a conformal bootstrap program to study AdS3/BCFT2 with heavy excitations. We start by solving the bootstrap equations associated with two-point functions of scalar/non-scalar primaries under the assumption that one-point…

High Energy Physics - Theory · Physics 2023-01-26 Yuya Kusuki , Zixia Wei

We propose boundary terms for the action of the NS sector of supergravity on $M_3 \times S^3 \times T^4$ spacetimes -- where $M_3$ is an AdS$_3$ or a linear dilaton background -- that render the Brown-York stress tensor and the on-shell…

High Energy Physics - Theory · Physics 2026-03-12 Luis Apolo

We introduce a bosonic ambitwistor string theory in AdS space. Even though the theory is anomalous at the quantum level, one can nevertheless use it in the classical limit to derive a novel formula for correlation functions of boundary CFT…

High Energy Physics - Theory · Physics 2020-12-30 Lorenz Eberhardt , Shota Komatsu , Sebastian Mizera

All-loop asymptotic Bethe equations for a 3-parameter deformation of AdS5/CFT4 have been proposed by Beisert and Roiban. We propose a Drinfeld twist of the AdS5/CFT4 S-matrix, together with c-number diagonal twists of the boundary…

High Energy Physics - Theory · Physics 2011-02-15 Changrim Ahn , Zoltan Bajnok , Diego Bombardelli , Rafael I. Nepomechie

By means of an algebraic Bethe ansatz approach we study the Zamolodchikov-Fateev and Izergin-Korepin vertex models with non-diagonal boundaries, characterized by reflection matrices with an upper triangular form. Generalized Bethe vectors…

Mathematical Physics · Physics 2014-11-07 R. A. Pimenta , A. Lima-Santos

The Izergin-Korepin model with general non-diagonal boundary terms, a typical integrable model beyond A-type and without U(1)-symmetry, is studied via the off-diagonal Bethe ansatz method. Based on some intrinsic properties of the R-matrix…

Mathematical Physics · Physics 2015-06-19 Kun Hao , Junpeng Cao , Guang-Liang Li , Wen-Li Yang , Kangjie Shi , Yupeng Wang

By combining the algebraic Bethe ansatz and the off-diagonal Bethe ansatz, we investigate the trigonometric SU(3) model with generic open boundaries. The eigenvalues of the transfer matrix are given in terms of an inhomogeneous T-Q…

Mathematical Physics · Physics 2018-06-27 Pei Sun , Zhirong Xin , Yi Qiao , Fakai Wen , Kun Hao , Junpeng Cao , Guang-Liang Li , Tao Yang , Wen-Li Yang , Kangjie Shi

We compute the spectrum and the eigenstates of the open XXX model with non-diagonal (triangular) boundary matrices. Since the boundary matrices are not diagonal, the usual coordinate Bethe ansatz does not work anymore, and we use a…

High Energy Physics - Theory · Physics 2012-06-06 N. Crampe , E. Ragoucy

Boundary integrability provides rare analytic control over field theories with interfaces, from quantum impurity problems to open string dynamics. We propose an analytic approach for integrable boundaries in two-dimensional sigma-models…

High Energy Physics - Theory · Physics 2026-03-13 Julio Cabello Gil , Sibylle Driezen

We obtain recursion formulas for the Bethe vectors of models with periodic boundary conditions solvable by the nested algebraic Bethe ansatz and based on the quantum affine algebra $U_q(\widehat{\mathfrak{gl}}_{n})$. We also present a sum…

Mathematical Physics · Physics 2018-03-01 A. Hutsalyuk , A. Liashyk , S. Z. Pakuliak , E. Ragoucy , N. A. Slavnov

A generalization of the eight vertex model by means of higher spin representations of the Sklyanin algebra is investigated by the quantum inverse scattering method and the algebraic Bethe Ansatz. Under the well-known string hypothesis…

q-alg · Mathematics 2009-10-28 Takashi Takebe

The exact solution for the energy spectrum of a one-dimensional Hamiltonian with local two-site interactions and periodic boundary conditions is determined. The two-site Hamiltonians commute with the symmetry algebra given by the Drinfeld…

Statistical Mechanics · Physics 2011-04-22 C. W. Campbell , K. A. Dancer , P. S. Isaac , J. Links

A quantum spin chain with non-conventional boundary conditions is studied. The distinct nature of these boundary conditions arises from the conversion of a soliton to an anti-soliton after being reflected to the boundary, hence the…

High Energy Physics - Theory · Physics 2015-02-04 Jean Avan , Anastasia Doikou , Nikos Karaiskos

We study the integrable XXZ model with general non-diagonal boundary terms at both ends. The Hamiltonian is considered in terms of a two boundary extension of the Temperley-Lieb algebra. We use a basis that diagonalizes a conserved charge…

High Energy Physics - Theory · Physics 2011-02-16 A. Nichols

We study the exact solution of an $N$-state vertex model based on the representation of the $U_q[SU(2)]$ algebra at roots of unity with diagonal open boundaries. We find that the respective reflection equation provides us one general class…

Mathematical Physics · Physics 2015-05-14 M. J. Martins , C. S. Melo

The quantum $\tau_2$-model with generic site-dependent inhomogeneity and arbitrary boundary fields is studied via the off-diagonal Bethe Ansatz method. The eigenvalues of the corresponding transfer matrix are given in terms of an…

Mathematical Physics · Physics 2016-12-21 Xiaotian Xu , Kun Hao , Tao Yang , Junpeng Cao , Wen-Li Yang , Kangjie Shi

The particle exchange model of hadron interactions can be used to describe three-body scattering under the isobar assumption. In this study we start from the 3->3 scattering amplitude for spinless particles, which contains an…

Nuclear Theory · Physics 2017-09-12 M. Mai , B. Hu , M. Doring , A. Pilloni , A. Szczepaniak

We introduce a general Hamiltonian describing coherent superpositions of Cooper pairs and condensed molecular bosons. For particular choices of the coupling parameters, the model is integrable. One integrable manifold, as well as the Bethe…

Exactly Solvable and Integrable Systems · Physics 2009-11-11 K. E. Hibberd , C. Dunning , J. Links