The logarithmic triplet theory with boundary

TL;DR

This paper explores the boundary theory of the c=-2 triplet model, identifying boundary conditions, constructing boundary operators, and verifying correlation functions for consistency with factorisation.

Contribution

It provides a detailed analysis of boundary conditions and operators in the triplet model, including explicit OPE coefficients and correlation function computations.

Findings

Four boundary conditions preserving the triplet algebra identified

Explicit boundary operator OPE coefficients constructed

Bulk-boundary correlation functions verified for consistency

Abstract

The boundary theory for the c=-2 triplet model is investigated in detail. In particular, we show that there are four different boundary conditions that preserve the triplet algebra, and check the consistency of the corresponding boundary operators by constructing their OPE coefficients explicitly. We also compute the correlation functions of two bulk fields in the presence of a boundary, and verify that they are consistent with factorisation.