Coulomb Gas on the Half Plane

TL;DR

This paper explores the Coulomb-gas approach to minimal models on the half plane, developing screening prescriptions via Liouville theory perturbation and proposing boundary operations to generate diverse conformal blocks.

Contribution

It introduces a novel method for deriving screening prescriptions and boundary operations in Coulomb-gas models with boundary conditions.

Findings

Developed screening prescriptions using Liouville theory with imaginary coupling.

Proposed boundary operations to generate conformal blocks for various boundary conditions.

Extended Coulomb-gas description to minimal models on the half plane.

Abstract

The Coulomb-gas description of minimal models is considered on the half plane. Screening prescriptions are developed by the perturbative expansion of the Liouville theory with imaginary coupling and with Neumann boundary condition on the bosonic field. To generate the conformal blocks of more general boundary conditions, we propose the insertion of boundary operations.