Excited Boundary TBA in the Tricritical Ising Model

Abstract

By considering the continuum scaling limit of the $A_4$ RSOS lattice model of Andrews-Baxter-Forrester with integrable boundaries, we derive excited state TBA equations describing the boundary flows of the tricritical Ising model. Fixing the bulk weights to their critical values, the integrable boundary weights admit a parameter $\xi$ which plays the role of the perturbing boundary field ${\varphi }_{1,3}$ and induces the renormalization group flow between boundary fixed points. The boundary TBA equations determining the RG flows are derived in the ${\mathcal{B}}_{(1,2)}\to {\mathcal{B}}_{(2,1)}$ example. The induced map between distinct Virasoro characters of the theory are specified in terms of distribution of zeros of the double row transfer matrix.

Latex, 14 pages - Talk given at the Landau meeting "CFT and Integrable Models", Sept. 2002 - v2: some statements about ${\varphi }_{1,2}$ perturbations corrected

References in corpus (1)

• Lattice Approach to Excited TBA Boundary Flows: Tricritical Ising Model

Cited by in corpus (4)

• Manifestly Supersymmetric Effective Lagrangians on BPS Solitons
• On the renormalisation group for the boundary Truncated Conformal Space Approach
• Logarithmic Superconformal Minimal Models
• Landau-Ginzburg Description of Boundary Critical Phenomena in Two Dimensions