Open Strings in Simple Current Orbifolds

TL;DR

This paper investigates the properties of branes and open strings in orbifold backgrounds using boundary conformal field theory, providing explicit operator product expansions and applications to specific models.

Contribution

It introduces microscopic techniques for analyzing branes and open strings in orbifolds, deriving factorizing operator product expansions for open string vertex operators.

Findings

Derived explicit operator product expansions for open string vertices.

Applied methods to Z2 orbifolds of SU(2) WZW models.

Extended analysis to D-series minimal models.

Abstract

We study branes and open strings in a large class of orbifolds of a curved background using microscopic techniques of boundary conformal field theory. In particular, we obtain factorizing operator product expansions of open string vertex operators for such branes. Applications include branes in Z2 orbifolds of the SU(2) WZW model and in the D-series of unitary minimal models considered previously by Runkel.