Boundary conditions in Toda theories and minimal models

TL;DR

This paper explores the relationship between Toda conformal field theories and minimal models, showing how boundary conditions and one-point functions behave in specific limits, and proposing new boundary conditions for Toda theory.

Contribution

It demonstrates the limit of disc bulk one-point functions in Toda theories and connects them to minimal models, proposing new twisted boundary conditions.

Findings

Bulk one-point functions have a well-defined limit at c=n-1

Limiting values can be derived from W_n minimal models

Proposal for twisted boundary conditions in Toda theory

Abstract

We show that the disc bulk one-point functions in a sl(n) Toda conformal field theory have a well-defined limit for the central charge c=n-1, and that their limiting values can be obtained from a limit of bulk one-point functions in the W_n minimal models. This comparison leads to a proposal for one-point functions for twisted boundary conditions in Toda theory.