Boundary States in c=-2 Logarithmic Conformal Field Theory

TL;DR

This paper introduces a constructive method for deriving boundary states in conformal field theories, specifically applied to the c=-2 logarithmic case, accommodating indecomposable and irreducible representations.

Contribution

It presents a new, systematic approach to compute boundary states in logarithmic conformal field theories, extending the applicability to complex representation structures.

Findings

Method successfully computes boundary states for c=-2 LCFT

Boundary states are consistent with theoretical expectations

Includes states for indecomposable and irreducible representations

Abstract

Starting from first principles, a constructive method is presented to obtain boundary states in conformal field theory. It is demonstrated that this method is well suited to compute the boundary states of logarithmic conformal field theories. By studying the logarithmic conformal field theory with central charge c=-2 in detail, we show that our method leads to consistent results. In particular, it allows to define boundary states corresponding to both, indecomposable representations as well as their irreducible subrepresentations.