Analytic conformal bootstrap and Virasoro primary fields in the Ashkin-Teller model
Nikita Nemkov,
Sylvain Ribault
Abstract:We revisit the critical two-dimensional Ashkin-Teller model, i.e. the Z 2 orbifold of the compactified free boson CFT at c = 1. We solve the model on the plane by computing its three-point structure constants and proving crossing symmetry of fourpoint correlation functions. We do this not only for affine primary fields, but also for Virasoro primary fields, i.e. higher twist fields and degenerate fields.This leads us to clarify the analytic properties of Virasoro conformal blocks and fusion kernels at c = 1. W… Show more
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