Conformal field theory of dipolar SLE(4) with mixed boundary condition

Nam-Gyu Kang

Conformal field theory of dipolar SLE(4) with mixed boundary condition

Probability 2013-07-01 v1 Mathematical Physics Complex Variables math.MP

Authors: Nam-Gyu Kang

Abstract

We develop a version of dipolar conformal field theory in a simply connected domain with the Dirichlet-Neumann boundary condition and central charge one. We prove that all correlation functions of the fields in the OPE family of Gaussian free field with a certain boundary value are martingale-observables for dipolar SLE(4).

Keywords

dipolar SLE conformal field theory mixed boundary condition Gaussian free field martingale-observables

Cite

@article{arxiv.1306.6705,
  title  = {Conformal field theory of dipolar SLE(4) with mixed boundary condition},
  author = {Nam-Gyu Kang},
  journal= {arXiv preprint arXiv:1306.6705},
  year   = {2013}
}