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arXiv · 1912.00973

Exact Correlation Functions in the Brownian Loop Soup

Federico Camia·Valentino F. Foit·Alberto Gandolfi·Matthew Kleban
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Abstract

We compute analytically and in closed form the four-point correlation function in the plane, and the two-point correlation function in the upper half-plane, of layering vertex operators in the two dimensional conformally invariant system known as the Brownian Loop Soup. These correlation functions depend on multiple continuous parameters: the insertion points of the operators, the intensity of the soup, and the charges of the operators. In the case of the four-point function there is non-trivial dependence on five continuous parameters: the cross-ratio, the intensity, and three real charges. The four-point function is crossing symmetric. We analyze its conformal block expansion and discover a previously unknown set of new conformal primary operators.

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Federico Camia, Valentino F. Foit, Alberto Gandolfi, Matthew Kleban. 2019-12-02. Exact Correlation Functions in the Brownian Loop Soup. https://doi.org/10.1007/jhep07(2020)067

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