SLE($κ,ρ$)and Boundary Coulomb Gas

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

doi:10.1016/j.nuclphysb.2006.02.018

paper

SLE( $κ, ρ$ )and Boundary Coulomb Gas

arXiv:hep-th/0508047 · doi:10.1016/j.nuclphysb.2006.02.018

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( $κ, ρ$ ) theories. We derive a set of conditions connecting the total charge of the coulomb gas, the boundary charges, the parameters $κ$ and $ρ$ . 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.

10 pages, no figure

SLE(κ,ρ)and Boundary Coulomb Gas

Abstract

SLE( $κ, ρ$ )and Boundary Coulomb Gas