Exact correlation functions in the Brownian Loop Soup

Journal of High Energy Physics

Valentino F. Foit¹  Matthew Kleban¹  Alberto Gandolfi²  Federico Camia³ 

[1] Center for Cosmology and Particle Physics, New York University, 726 Broadway, 10003, New York, NY, USA;Science Division, NYU Abu Dhabi, Saadiyat Campus, Abu Dhabi, UAE;Science Division, NYU Abu Dhabi, Saadiyat Campus, Abu Dhabi, UAE;Department of Mathematics, VU University, De Boelelaan 1081a, 1081 HV, Amsterdam, The Netherlands;

关键词: Conformal Field Theory;    Integrable Field Theories;    Random Systems;    Stochastic Processes;   

DOI  :  10.1007/JHEP07(2020)067

来源: Springer

【 摘 要 】

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.

【 授权许可】

Unknown