Calogero-Sutherland model and bulk-boundary correlations in conformal field theory
High Energy Physics - Theory
2009-11-10 v2 Statistical Mechanics
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.hep-th/0310291,
title = {Calogero-Sutherland model and bulk-boundary correlations in conformal field theory},
author = {John Cardy},
journal= {arXiv preprint arXiv:hep-th/0310291},
year = {2009}
}
Comments
11 pages. v.2: published version with minor errors corrected