Excited Boundary TBA in the Tricritical Ising Model

Details Excited Boundary TBA in the Tricritical Ising Model Excited Boundary TBA in the Tricritical Ising Model

2003-06-20

arxiv.org/abs/hep-th/0306196v2

Int.J.Mod.Phys. A19S2 (2004) 155-167

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 14 pages - Talk given at the Landau meeting "CFT and Integrable Models", Sept. 2002 - v2: some statements about $\phi_{

Scientific paper

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 $\phi_{1,3}$ 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.

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