Conformal boundary states in SU(2)_1/G

TL;DR

This paper constructs conformal boundary states in a specific c=1 orbifold conformal field theory, highlighting their symmetry-preserving properties and symmetry-breaking tendencies.

Contribution

It introduces explicit boundary states in the SU(2)_1/G orbifold, expanding understanding of boundary conditions in this class of conformal field theories.

Findings

Boundary states preserve conformal symmetry.

Boundary states generally break rational symmetries.

Provides explicit construction of boundary states in the orbifold.

Abstract

We construct boundary states in a particular c=1 conformal field theory, the SU(2)_1/G orbifold with G a binary finite subgroup of SU(2). These states preserve the conformal symmetry, at least, but break rational symmetries of the SU(2)_1/G orbifold in general.