Defect flows in minimal models

Abstract

In this paper we study a simple example of a two-parameter space of renormalisation group flows of defects in Virasoro minimal models. We use a combination of exact results, perturbation theory and the truncated conformal space approach to search for fixed points and investigate their nature. For the Ising model, we confirm the recent results of Fendley et al. In the case of central charge close to one, we find six fixed points, five of which we can identify in terms of known defects and one of which we conjecture is a new non-trivial conformal defect. We also include several new results on exact properties of perturbed defects and on the renormalisation group in the truncated conformal space approach.

35 pages, 21 figures. 1 reference added

References in corpus (9)

• Duality and defects in rational conformal field theory
• Topological defects for the free boson CFT
• Fusion of conformal interfaces
• Defects and Bulk Perturbations of Boundary Landau-Ginzburg Orbifolds
• B-type defects in Landau-Ginzburg models
• Bulk flows in Virasoro minimal models with boundaries
• Perturbed Defects and T-Systems in Conformal Field Theory
• Generalised N=2 permutation branes
• A Renormalisation group for TCSA

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