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

Abstract

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.

21 pages; v2: small changes in notations

References in corpus (3)

• Exact solutions and elementary excitations in the XXZ spin chain with unparallel boundary fields
• Exact finite size spectrum in super sine-Gordon model
• Finite size effects in the spin-1 XXZ and supersymmetric sine-Gordon models with Dirichlet boundary conditions