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

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.

10 pages, no figure

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Cited by in corpus (2)

• Stochastic geometry of critical curves, Schramm-Loewner evolutions, and conformal field theory
• Virasoro Module Structure of Local Martingales of SLE Variants