D-branes and Discrete Torsion

TL;DR

This paper demonstrates how discrete torsion manifests in D-brane world-volume theories through projective representations, analyzing a specific orbifold example and revealing new fractional branes.

Contribution

It introduces a method to implement discrete torsion via projective representations and explores the resulting fractional branes in a specific orbifold setting.

Findings

Discrete torsion is realized through projective representations.

Resolution of singularities matches previous proposals by Vafa and Witten.

A new type of fractional brane is identified.

Abstract

We show that discrete torsion is implemented in a D-brane world-volume theory by using a projective representation of the orbifold point group. We study the example of C^3/Z_2 x Z_2 and show that the resolution of singularities agrees with that proposed by Vafa and Witten. A new type of fractional brane appears.