Calogero-Sutherland model and bulk-boundary correlations in conformal field theory

Abstract

We show that, in any conformal field theory, the weights of all bulk primary fields that couple to N phi_{2,1} fields on the boundary are given by the spectrum of an N-particle Calogero-Sutherland model. The corresponding correlation function is simply related to the N-particle wave function. Examples are discussed for the minimal models and for the non-unitary O(n) model.

arXiv comment11 pages. v.2: published version with minor errors corrected

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