Infinitesimal conformal restriction and unitarizing measures for Virasoro algebra

Autor:	Gordina, Maria, Qian, Wei, Wang, Yilin
Rok vydání:	2024
Předmět:	Mathematics - Probability Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	We use the SLE$_\kappa$ loop measure to construct a natural representation of the Virasoro algebra of central charge $c = c(\kappa) \le 1$. In particular, we introduce a non-degenerate bilinear Hermitian form (not positive-definite) using the SLE loop measure and show that the representation is (indefinite) unitary. Our proof relies on the infinitesimal conformal restriction property of the SLE loop measure. Comment: 24 pages, added more references
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2407.09426 Zobrazit plný text záznamu View this record from Arxiv