TBA boundary flows in the tricritical Ising field theory

2002/07/04 by Rafael I. Nepomechie, Changrim Ahn
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Boundary (topology) #Boundary conformal field theory #Boundary value problem #Field (mathematics) #Fusion rules #Ising model #Quantum many-body systems #Theoretical and Computational Physics #hep-th

paper · pdf · doi:10.1016/s0550-3213(02)00909-4

published as Nucl.Phys. B647 (2002) 433-470 · 39 pages, LaTeX; amssymb, epsf, 7 eps figures; v2 reference added

arxiv created 2002/07/04 · openalex publication_date 2002/12/01 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Boundary S matrices for the boundary tricritical Ising field theory (TIM), both with and without supersymmetry, have previously been proposed. Here we provide support for these S matrices by showing that the corresponding boundary entropies are consistent with the expected boundary flows. We develop the fusion procedure for boundary RSOS models, with which we derive exact inversion identities for the TIM. We confirm the TBA description of nonsupersymmetric boundary flows of Lesage et al., and we obtain corresponding descriptions of supersymmetric boundary flows.

Citations

• -function flow in perturbed boundary conformal field theories
• Boundary Yang-Baxter equation in the RSOS/SOS representation
• Infinite conformal symmetry in two-dimensional quantum field theory
• Row transfer matrix functional relations for Baxter's eight-vertex and six-vertex models with open boundaries via more general reflection matrices
• Lattice approach to excited TBA boundary flows: tricritical Ising model
• Boundary conditions for integrable quantum systems
• Factorized S-matrices in two dimensions as the exact solutions of certain relativistic quantum field theory models