Work

Boundary operators in the Brownian loop soup

Year: 2026

Type: article

Abstract: A bstract We obtain infinitely many boundary operators in the Brownian loop soup in the subcritical phase by analyzing the conformal block expansion of the two-point function that computes the probability of having two marked points on the upper half-plane being separated by Brownian loops. The resulting boundary operators are primary operators in a 2D CFT with central charge c ≤ 1 and have conformal dimensions that are non-negative integers. By comparing the above-mentioned conformal block expansion with probabilities in the Brownian loop soup, we provide a physical interpretation of the boundary operators of even dimensions as operators that insert multiple outer boundaries of Brownian loops at points on the real axis.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep04(2026)100

Authors: Federico Camia, Rongvoram Nivesvivat

Institutions: New York University Abu Dhabi, New York University

Language: English

Topic: Stochastic processes and statistical mechanics

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

Funders: Deutsche Forschungsgemeinschaft, Hausdorff Research Institute for Mathematics

Awards: EXC 2047: Hausdorff Center for Mathematics (HCM), G1600773818