Boundary Logarithmic Conformal Field Theory

TL;DR

This paper explores how boundaries influence boundary logarithmic conformal field theories, revealing new features in correlation functions and modifications to established boundary-bulk relations in specific models.

Contribution

It demonstrates the impact of boundaries on boundary logarithmic conformal field theories, highlighting new phenomena and modifications to Cardy's relation in $c=-2$ and $c=0$ models.

Findings

Boundaries induce new features in correlation functions.

Boundary effects modify Cardy's relation.

Results are demonstrated in $c=-2$ and $c=0$ models.

Abstract

We discuss the effect of boundaries in boundary logarithmic conformal field theory and show, with reference to both $c=-2$ and $c=0$ models, how they produce new features even in bulk correlation functions which are not present in the corresponding models without boundaries. We discuss the modification of Cardy's relation between boundary states and bulk quantities.