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An informal introduction to our recent work on the principal chiral model with boundary. We found that both classically integrable boundary conditions and quantum boundary S-matrices were classified by the symmetric spaces G/H. The…

High Energy Physics - Theory · Physics 2009-11-07 Niall MacKay , Ben Short

The present paper deals with N=1 2D supersymmetric integrable quantum field theory. The S-matrix proposed to describe the interactions between supersymmetric particles is applied to theories involving topological excitations of zero central…

High Energy Physics - Theory · Physics 2007-05-23 Evangelos Mavrikis

We relate, in 10 and 11 dimensional supergravities, configurations of intersecting closed branes with vanishing binding energy to configurations where one of the branes opens and has its boundaries attached to the other. These boundaries…

High Energy Physics - Theory · Physics 2009-10-30 R. Argurio , F. Englert , L. Houart , P. Windey

The vectorial holographic correspondences between higher-spin theories in AdS$_5$ and free vector models on the boundary are extended to the cases where the latter is described by free massless spin-$j$ field. The dual higher-spin theory in…

High Energy Physics - Theory · Physics 2017-02-01 Jin-Beom Bae , Euihun Joung , Shailesh Lal

We constrain the $S$-wave baryon-baryon interaction using SU(6) symmetry within a nonrelativistic effective field theory. The most general leading-order Lagrangian contains two independent parameters, which we determine using physical $NN$…

Nuclear Theory · Physics 2026-01-22 Tao-Ran Hu , Feng-Kun Guo

The strong form of the AdS/CFT correspondence implies that the leading $N$ expressions for the connected correlation functions of the gauge invariant operators in the free ${\cal N}=4$ supersymmetric Yang-Mills theory with the gauge group…

High Energy Physics - Theory · Physics 2007-05-23 Andrei Mikhailov

This work concerns the boundary integrability of the spin-s ${\cal{U}}_{q}[sl(2)]$ Temperley-Lieb model. A systematic computation method is used to constructed the solutions of the boundary Yang-Baxter equations. For $s$ half-integer, a…

Exactly Solvable and Integrable Systems · Physics 2015-05-20 A. Lima-Santos

We diagonalise the transfer matrix of boundary ABF models using bosonized vertex operators. We compute the boundary S-matrix and check the scaling limit against known results for perturbed boundary conformal field theories.

High Energy Physics - Theory · Physics 2009-10-30 Tetsuji Miwa , Robert Weston

We show how to derive exact boundary $S$ matrices for integrable quantum field theories in 1+1 dimensions using lattice regularization. We do this calculation explicitly for the sine-Gordon model with fixed boundary conditions using the…

High Energy Physics - Theory · Physics 2009-10-28 P. Fendley , H. Saleur

The thermodynamic limit and boundary energy of the isotropic spin-1 Heisenberg chain with non-diagonal boundary fields are studied. The finite size scaling properties of the inhomogeneous term in the $ T-Q $ relation at the ground state are…

High Energy Physics - Theory · Physics 2022-03-07 Zhihan Zheng , Pei Sun , Xiaotian Xu , Tao Yang , Junpeng Cao , Wen-Li Yang

Using duality in optimization theory we formulate a dual approach to the S-matrix bootstrap that provides rigorous bounds to 2D QFT observables as a consequence of unitarity, crossing symmetry and analyticity of the scattering matrix. We…

High Energy Physics - Theory · Physics 2020-12-02 Andrea L Guerrieri , Alexandre Homrich , Pedro Vieira

Bound states made from two triplet excitations on the Shastry-Sutherland (ShaSu) lattice are investigated. Based on the perturbative unitary transformation by flow equations quantitative properties like dispersions and qualitative…

Strongly Correlated Electrons · Physics 2009-10-31 Christian Knetter , Alexander Buehler , Erwin Mueller-Hartmann , Goetz S. Uhrig

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 show that the transfer matrix of the A_{N-1}^(1) open spin chain with diagonal boundary fields has the symmetry U_q (SU(L)) x U_q (SU(N-L)) x U(1), as well as a ``duality'' symmetry which interchanges L and N - L. We exploit these…

High Energy Physics - Theory · Physics 2009-10-31 Anastasia Doikou , Rafael I. Nepomechie

We study the quantum integrable spin chain model associated with the twisted $D_2^{(2)}$ algebra (or simply the $D_2^{(2)}$ model) under generic open boundary conditions. The Hamiltonian of this model can be factorized into the sum of two…

Mathematical Physics · Physics 2025-05-19 Pengcheng Lu , Junpeng Cao , Wen-Li Yang , Ian Marquette , Yao-Zhong Zhang

The description of string-theoretic s-branes at g_s=0 as exact worldsheet CFTs with a (lambda cosh X^0) or (lambda e^(X^0)) boundary interaction is considered. Due to the imaginary-time periodicity of the interaction under X^0 -> X^0 + 2 pi…

High Energy Physics - Theory · Physics 2009-11-10 Alexander Maloney , Andrew Strominger , Xi Yin

Lately, to provide a solid ground for quantization of the open string theory with a constant B-field, it has been proposed to treat the boundary conditions as hamiltonian constraints. It seems that this proposal is quite general and should…

High Energy Physics - Theory · Physics 2009-10-31 Maxim Zabzine

Two types of boundary conditions ("soliton preserving" and "soliton non-preserving") are investigated for the sl(n) and sl(m|n) open spin chains. The appropriate reflection equations are formulated and the corresponding solutions are…

Mathematical Physics · Physics 2011-02-16 Daniel Arnaudon , Jean Avan , Nicolas Crampe , Anastasia Doikou , Luc Frappat , Eric Ragoucy

Correlation functions and form factors in vertex models or spin chains are known to satisfy certain difference equations called the quantum Knizhnik-Zamolodchikov equations. We find similar difference equations for the case of semi-infinite…

High Energy Physics - Theory · Physics 2016-09-06 Michio Jimbo , Rinat Kedem , Hitoshi Konno , Tetsuji Miwa , Robert Weston

We construct models describing interaction between a spin $s$ and a single bosonic mode using a quantum inverse scattering procedure. The boundary conditions are generically twisted by generic matrices with both diagonal and off-diagonal…

Strongly Correlated Electrons · Physics 2009-11-10 Luigi Amico , Kazuhiro Hikami