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

TL;DR

This paper reveals a connection between bulk-boundary correlations in conformal field theories and the spectrum of Calogero-Sutherland models, providing a new integrable systems perspective on boundary effects.

Contribution

It establishes a novel link between bulk primary field weights in conformal field theories and Calogero-Sutherland model spectra, extending understanding of boundary correlations.

Findings

Bulk primary weights correspond to Calogero-Sutherland spectra

Correlation functions relate to N-particle wave functions

Examples include minimal and O(n) models

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.