Correlation functions in loop models

Abstract

In this paper we provide a step towards the understanding of the O($n$) bulk operator algebra. By using a mixture of analytical and numerical methods, we compute (ratios of) structure constants, and analyse the logarithmic structure of the transfer matrix. We believe that the O($n$) model for a generic value of $n=q+q^{-1}$ (i.e. for $q$ not a root of unity) provides a toy model of a bulk logarithmic CFT that is considerably simpler than its counterparts at $q$ a root of unity.

36 pages + appendix, 7 figures

References in corpus (2)

• Discretely Holomorphic Parafermions and Integrable Loop Models
• The periodic sl(2|1) alternating spin chain and its continuum limit as a bulk Logarithmic Conformal Field Theory at c=0