On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms

Details On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms On the NLIE of (inhomogeneous) open spin-1 XXZ chain with general integrable boundary terms

2010-12-05

arxiv.org/abs/1012.1055v2

JHEP 1102:016,2011

Physics

High Energy Physics

High Energy Physics - Theory

21 pages; v2: small changes in notations

Scientific paper

10.1007/JHEP02(2011)016

Starting from the T-Q equations of the open spin-1 XXZ quantum spin chain with general integrable boundary terms, for values of the boundary parameters which satisfy a certain constraint, we derive a set of nonlinear integral equations (NLIEs) for the inhomogeneous open spin-1 XXZ chain. By taking the continuum limit of these NLIEs, and working in analogy with the open spin-1 XXZ chain with diagonal boundary terms, we compute the boundary and the Casimir energies of the corresponding supersymmetric sine-Gordon (SSG) model. We also present an analytical result for the effective central charge in the ultraviolet (UV) limit.

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