Exact (d)->(+)&(-) boundary flow in the tricritical Ising model

Abstract

The integrable perturbation of the degenerate boundary condition (d) by the ${\varphi }_{1,3}$ boundary field generates a renormalization group flow down to the superposition of Cardy boundary states (+)&(-). Exact Thermodynamic Bethe Ansatz (TBA) equations for all the excited states are derived here extending the results of a previous paper to this case. As an intermediate step, the non-Cardy boundary conformal sector (+)&(-) is also described as the scaling limit of an A_4 lattice model with appropriate integrable boundary conditions and produces the first example of superposition of finitized Virasoro characters.

14 pages, 2 figures

References in corpus (4)

• Organizing boundary RG flows
• Exact ${\varphi }_{1,3}$ boundary flows in the tricritical Ising model
• Excited TBA Equations II: Massless Flow from Tricritical to Critical Ising Model
• TBA boundary flows in the tricritical Ising field theory

Cited by in corpus (3)

• On the renormalisation group for the boundary Truncated Conformal Space Approach
• Open spin chain realization of topological defect on 1d Ising model and boundary and bulk symmetry
• Quantum integrable systems. Quantitative methods in biology