Boundary States of c=1 and 3/2 Rational Conformal Field Theories

TL;DR

This paper explores boundary states in rational c=1 and c=3/2 conformal field theories, revealing new symmetry-breaking and fractional brane configurations using orbifold and simple-current methods.

Contribution

It introduces novel boundary states, including symmetry-breaking and fractional branes, in rational conformal field theories using orbifold and simple-current techniques.

Findings

Construction of non-Cardy boundary states.

Identification of fractional and twisted branes.

Relations between boundary states across theories.

Abstract

We study the boundary states for the rational points in the moduli spaces of c=1 conformal and c=3/2 superconformal field theories, including the isolated Ginsparg points. We use the orbifold and simple-current techniques to relate the boundary states of different theories and to obtain symmetry-breaking, non-Cardy boundary states. We show some interesting examples of fractional and twisted branes on orbifold spaces.