Defect flows in minimal models

TY - JOUR

T1 - Defect flows in minimal models

AU - Kormos, Martin

AU - Runkel, Ingo

AU - Watts, Gerard M. T.

PY - 2009

Y1 - 2009

N2 - 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.

AB - 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.

U2 - 10.1088/1126-6708/2009/11/057

DO - 10.1088/1126-6708/2009/11/057

M3 - Article

SN - 1029-8479

VL - 2009

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

IS - 11

M1 - 057

ER -