Twisted brane charges for non-simply connected groups

TL;DR

This paper derives explicit formulas for twisted brane charges in string theory on non-simply connected groups, comparing them to untwisted cases and revealing their equivalence in certain scenarios.

Contribution

It provides simple, explicit formulas for NIM-rep coefficients related to twisted branes on SU(n)/Z_d, advancing understanding of their charge groups.

Findings

Charge groups of twisted and untwisted branes are equivalent in studied cases.

Explicit formulas for NIM-rep coefficients are derived.

Twisted brane charges are determined for SU(n)/Z_d groups.

Abstract

The charges of the twisted branes for strings on the group manifold SU(n)/Z_d are determined. To this end we derive explicit (and remarkably simple) formulae for the relevant NIM-rep coefficients. The charge groups of the twisted and untwisted branes are compared and found to agree for the cases we consider.