Soliton S matrices for the critical A(1)N-1 chain

Anastasia Doikou; Rafael I. Nepomechie

doi:10.1016/S0370-2693(99)00873-4

Soliton S matrices for the critical A⁽¹⁾_N-1 chain

Anastasia Doikou, Rafael I. Nepomechie

Research output: Contribution to journal › Article › peer-review

12 Citations (Scopus)

Abstract

We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A_{N-1}^(1) quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A_{N-1}^(1) Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.

Original language	English
Pages (from-to)	121–131
Number of pages	11
Journal	Physics Letters B
Volume	462
Issue number	1-2
DOIs	https://doi.org/10.1016/S0370-2693(99)00873-4
Publication status	Published - 9 Sept 1999

Keywords

hep-th
nlin.SI
solv-int

Access to Document

10.1016/S0370-2693(99)00873-4

Cite this

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title = "Soliton S matrices for the critical A(1)N-1 chain",

abstract = "We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A_{N-1}^(1) quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A_{N-1}^(1) Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.",

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AU - Doikou, Anastasia

AU - I. Nepomechie, Rafael

N1 - 12 pages, LaTeX; v2. contains ``Note Added'' and 1 more reference

PY - 1999/9/9

Y1 - 1999/9/9

N2 - We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A_{N-1}^(1) quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A_{N-1}^(1) Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.

AB - We compute by Bethe Ansatz both bulk and boundary hole scattering matrices for the critical A_{N-1}^(1) quantum spin chain. The bulk S matrix coincides with the soliton S matrix for the A_{N-1}^(1) Toda field theory with imaginary coupling. We verify our result for the boundary S matrix using a generalization of the Ghoshal-Zamolodchikov boundary crossing relation.

KW - hep-th

KW - nlin.SI

KW - solv-int

U2 - 10.1016/S0370-2693(99)00873-4

DO - 10.1016/S0370-2693(99)00873-4

M3 - Article

SN - 0370-2693

VL - 462

SP - 121

EP - 131

JO - Physics Letters B

JF - Physics Letters B

IS - 1-2