SLE($\kappa,\rho$)and Boundary Coulomb Gas

S. Moghimi-Araghi; M. A. Rajabpour; S. Rouhani

doi:10.1016/j.nuclphysb.2006.02.018

SLE($\kappa,\rho$)and Boundary Coulomb Gas

High Energy Physics - Theory 2009-11-11 v1

Authors: S. Moghimi-Araghi , M. A. Rajabpour , S. Rouhani

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Abstract

We consider the coulomb gas model on the upper half plane with different boundary conditions, namely Drichlet, Neuman and mixed. We related this model to SLE( $\kappa,\rho$ ) theories. We derive a set of conditions connecting the total charge of the coulomb gas, the boundary charges, the parameters $\kappa$ and $\rho$ . Also we study a free fermion theory in presence of a boundary and show with the same methods that it would lead to logarithmic boundary changing operators.

Keywords

Coulomb gas SLE boundary conditions boundary changing operators free fermion conformal field theory

Cite

@article{arxiv.hep-th/0508047,
  title  = {SLE($\kappa,\rho$)and Boundary Coulomb Gas},
  author = {S. Moghimi-Araghi and M. A. Rajabpour and S. Rouhani},
  journal= {arXiv preprint arXiv:hep-th/0508047},
  year   = {2009}
}

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10 pages, no figure

SLE($\kappa,\rho$)and Boundary Coulomb Gas

Abstract

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