Exact g-function flow between conformal field theories

Abstract

Exact equations are proposed to describe g-function flows in integrable boundary quantum field theories which interpolate between different conformal field theories in their ultraviolet and infrared limits, extending previous work where purely massive flows were treated. The approach is illustrated with flows between the tricritical and critical Ising models, but the method is not restricted to these cases and should be of use in unravelling general patterns of integrable boundary flows between pairs of conformal field theories.

17 pages, 11 figures

References in corpus (4)

• Bulk flows in Virasoro minimal models with boundaries
• Boundary Entropy Can Increase Under Bulk RG Flow
• Reflection factors and exact g-functions for purely elastic scattering theories
• Boundary transitions of the O(n) model on a dynamical lattice

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• Quantisation of the effective string with TBA
• Holographic duality for Ising CFT with boundary
• Boundary entropy of integrable perturbed $SU(2{)}_k$ WZNW
• Homomorphism, substructure, and ideal: Elementary but rigorous aspects of renormalization group or hierarchical structure of topological orders
• Moduli space coordinates and excited state g-functions