Unoriented WZW Models and Holonomy of Bundle Gerbes
High Energy Physics - Theory
2011-05-25 v2 Mathematical Physics
Differential Geometry
math.MP
Abstract
The Wess-Zumino term in two-dimensional conformal field theory is best understood as a surface holonomy of a bundle gerbe. We define additional structure for a bundle gerbe that allows to extend the notion of surface holonomy to unoriented surfaces. This provides a candidate for the Wess-Zumino term for WZW models on unoriented surfaces. Our ansatz reproduces some results known from the algebraic approach to WZW models.
Keywords
Cite
@article{arxiv.hep-th/0512283,
title = {Unoriented WZW Models and Holonomy of Bundle Gerbes},
author = {Urs Schreiber and Christoph Schweigert and Konrad Waldorf},
journal= {arXiv preprint arXiv:hep-th/0512283},
year = {2011}
}
Comments
46 pages, 9 figures. Version 2 contains corrected proofs of Lemma 2 and Theorem 1, and an improved discussion of the WZW bundle gerbe