Conformal field theory on the Riemann sphere and its boundary version for SLE

Autor:	Kang, Nam-Gyu, Makarov, Nikolai
Rok vydání:	2021
Předmět:	Mathematical Physics Mathematics - Complex Variables Mathematics - Probability
Druh dokumentu:	Working Paper
Popis:	From conformal field theory on the Riemann sphere, we implement its boundary version in a simply-connected domain using the Schottky double construction. We consider the statistical fields generated by background charge modification of the Gaussian free field with Dirichlet boundary condition under the OPE multiplications. We prove that the correlation functions of such fields with symmetric background charges form a collection of martingale-observables for (forward) chordal/radial SLE with force points and spins. We also present the connection between conformal field theory with Neumann boundary condition and the theory of backward SLE. Comment: 74 pages. One of the main theorems in this article generalizes a result of the unpublished preprint 'Radial SLE martingale-observables' (arXiv:1208.2789)
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2111.10057 Zobrazit plný text záznamu View this record from Arxiv