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Related papers: Reflecting magnons from D7 and D5 branes

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We show that integrability and symmetries of the near horizon geometry of the D1-D5 system determine the S-matrix for the scattering of magnons with polarizations in AdS3 $\times$ S3 completely up to a phase. Using semi-classical methods we…

High Energy Physics - Theory · Physics 2010-11-19 Justin R. David , Bindusar Sahoo

We study the scattering of magnon boundstates in the spin-chain description of planar N=4 SUSY Yang-Mills. Starting from the conjectured exact S-matrix for magnons in the SU(2) sector, we calculate the corresponding S-matrix for boundstates…

High Energy Physics - Theory · Physics 2009-11-11 Heng-Yu Chen , Nick Dorey , Keisuke Okamura

In this paper we compute the most general nondiagonal reflection matrices of the RSOS/SOS models and hard hexagon model using the boundary Yang-Baxter equations. We find new one-parameter family of reflection matrices for the RSOS model in…

solv-int · Physics 2009-10-30 C. Ahn , C. K. You

In this paper we consider families of multiparametric $R$-matrices to make a systematic study of the boundary Yang-Baxter equations in order to discuss the corresponding families of multiparametric $K$-matrices. Our results are indeed…

Exactly Solvable and Integrable Systems · Physics 2017-01-26 Ricardo S. Vieira , A. Lima-Santos

In this article we review the world-sheet scattering theory of strings on AdS 5 x S5. The asymptotic spectrum of this world-sheet theory contains both fundamental particles and bound states of the latter. We explicitly derive the S-matrix…

High Energy Physics - Theory · Physics 2010-07-29 Marius de Leeuw

We discuss quantum dynamics in the ring systems with double Y-junctions in which two arms have same length. The node of a Y-junction can be parametrized by U(3). Considering mathematically permitted junction conditions seriously, we…

Quantum Physics · Physics 2022-01-07 Yukihiro Fujimoto , Kohkichi Konno , Tomoaki Nagasawa

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

Compactifying the A_1 version of (2,0) theory on a circle gives rise to five-dimensional, maximally supersymmetric Yang-Mills theory. In the Coulomb branch, where the SU(2) gauge group is spontaneously broken to a U(1) subgroup, the degrees…

High Energy Physics - Theory · Physics 2008-11-26 Erik Flink

We explore the reflection-transmission quantum Yang-Baxter equations, arising in factorized scattering theory of integrable models with impurities. The physical origin of these equations is clarified and three general families of solutions…

High Energy Physics - Theory · Physics 2009-11-10 V. Caudrelier , M. Mintchev , E. Ragoucy , P. Sorba

We study the large N limit of matrix models of M5-branes, or (2,0) six-dimensional superconformal field theories, by making use of the Bulk/Boundary correspondence. Our emphasis is on the relation between the near-horizon limit of branes…

High Energy Physics - Theory · Physics 2008-11-26 Hidetoshi Awata , Shinji Hirano

We compute the meson spectrum of an N=2 super Yang-Mills theory with fundamental matter from its dual string theory on AdS_5 x S_5 with a D7-brane probe. For scalar and vector mesons with arbitrary R-charge the spectrum is computed in…

High Energy Physics - Theory · Physics 2011-07-19 Martin Kruczenski , David Mateos , Robert C. Myers , David J. Winters

We derive an integrable reflection matrix for the scattering of excitations from a boundary with a degree of freedom when the reflection process preserves an $SU(1|2)$ symmetry. As this residual symmetry is not sufficient to fully determine…

High Energy Physics - Theory · Physics 2026-02-11 Diego H. Correa , Maximiliano G. Ferro , Victor I. Giraldo-Rivera , Nicolas A. Ivanovich

The symmetries, especially those related to the $R$-transformation, of the reflection equation(RE) for two-component systems are analyzed. The classification of solutions to the RE for eight-, six- and seven-vertex type $R$-matrices is…

High Energy Physics - Theory · Physics 2008-11-26 Cong-xin Liu , Guo-xing Ju , Shi-kun Wang , Ke Wu

We compute the boundary scattering amplitudes of the breathers of the supersymmetric sine-Gordon model using the fusion of the soliton-antisoliton pair scattering with the boundary with a known result of the soliton boundary scattering…

High Energy Physics - Theory · Physics 2009-10-30 Changrim Ahn , Wai Ming Koo

We have find the diagonal K matrix solutions of the reflection equations for a class of vertex models. These models have (n+1)(2n+1) vertices and are defined as two set of (n + 1) R matrices, solutions of the equations of Yang-Baxter…

Exactly Solvable and Integrable Systems · Physics 2021-07-02 A. Lima-Santos

The 2D off-critical q-state Potts model with boundaries was studied as a factorizable relativistic scattering theory. The scattering S-matrices for particles reflecting off the boundaries were obtained for the cases of ``fixed'' and…

High Energy Physics - Theory · Physics 2014-11-18 Leung Chim

The definitions of the main notions related to the quantum inverse scattering methods are given. The Yang-Baxter equation and reflection equations are derived as consistency conditions for the factorizable scattering on the whole line and…

High Energy Physics - Theory · Physics 2015-06-26 P. P. Kulish

For the classical principal chiral model with boundary, we give the subset of the Yangian charges which remains conserved under certain integrable boundary conditions, and extract them from the monodromy matrix. Quantized versions of these…

High Energy Physics - Theory · Physics 2009-11-07 G. W. Delius , N. J. MacKay , B. J. Short

We derive and classify all regular solutions of the boundary Yang-Baxter equation for 19-vertex models known as Zamolodchikov-Fateev or $A_{1}^{(1)}$ model, Izergin-Korepin or $A_{2}^{(2)}$ model, sl(2|1) model and osp(2|1) model. We find…

solv-int · Physics 2009-10-31 A. Lima-Santos

We present a classification of diagonal, antidiagonal and mixed reflection matrices related to Yangian and super-Yangian R matrices associated to the infinite series so(m), sp(n) and osp(m|n). We formulate the analytical Bethe Ansatz…

Quantum Algebra · Mathematics 2010-04-05 D. Arnaudon , J. Avan , N. Crampe' , A. Doikou , L. Frappat , E. Ragoucy