Discrete Torsion

Details Discrete Torsion Discrete Torsion

2000-08-19

arxiv.org/abs/hep-th/0008154v3

Phys.Rev. D68 (2003) 126003

Physics

High Energy Physics

High Energy Physics - Theory

45 pages, LaTeX, 4 figures; v2: typos fixed; v3: more typos fixed

Scientific paper

10.1103/PhysRevD.68.126003

In this article we explain discrete torsion. Put simply, discrete torsion is the choice of orbifold group action on the B field. We derive the classification H^2(G, U(1)), we derive the twisted sector phases appearing in string loop partition functions, we derive M. Douglas's description of discrete torsion for D-branes in terms of a projective representation of the orbifold group, and we outline how the results of Vafa-Witten fit into this framework. In addition, we observe that additional degrees of freedom (known as shift orbifolds) appear in describing orbifold group actions on B fields, in addition to those classified by H^2(G, U(1)), and explain how these new degrees of freedom appear in terms of twisted sector contributions to partition functions and in terms of orbifold group actions on D-brane worldvolumes. This paper represents a technically simplified version of prior papers by the author on discrete torsion. We repeat here technically simplified versions of results from those papers, and have included some new material.

Affiliated with

Also associated with

No associations

Rating

Discrete Torsion does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Discrete Torsion, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Discrete Torsion will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-125721