D-branes in an asymmetric orbifold

TL;DR

This paper explores the construction of D-branes in an asymmetric orbifold created by T-duality and shifts, focusing on the role of automorphisms in the chiral algebra for coupling to twisted sectors.

Contribution

It introduces a novel approach to constructing D-branes in asymmetric orbifolds using automorphisms of the chiral algebra.

Findings

Automorphisms permute simple factors of the chiral algebra.

D-branes can couple to twisted sectors via these automorphisms.

The structure of the orbifold's chiral algebra influences D-brane configurations.

Abstract

We consider the asymmetric orbifold that is obtained by acting with T-duality on a 4-torus, together with a shift along an extra circle. The chiral algebra of the resulting theory has non-trivial outer automorphisms that act as permutations on its simple factors. These automorphisms play a crucial role for constructing D-branes that couple to the twisted sector of the orbifold.