Conformal field theory of dipolar SLE with the Dirichlet boundary condition
Probability
2013-07-18 v1 Mathematical Physics
Complex Variables
math.MP
Abstract
We develop a version of dipolar conformal field theory based on the central charge modification of the Gaussian free field with the Dirichlet boundary condition and prove that correlators of certain family of fields in this theory are martingale-observables for dipolar SLE. We prove the restriction property of dipolar SLE(8/3) and Friedrich-Werner's formula in the dipolar case.
Keywords
Cite
@article{arxiv.1307.4424,
title = {Conformal field theory of dipolar SLE with the Dirichlet boundary condition},
author = {Nam-Gyu Kang and Hee-Joon Tak},
journal= {arXiv preprint arXiv:1307.4424},
year = {2013}
}
Comments
To appear in Anal. Math. Phys. 36 pages