Unoriented WZW Models and Holonomy of Bundle Gerbes

Details Unoriented WZW Models and Holonomy of Bundle Gerbes Unoriented WZW Models and Holonomy of Bundle Gerbes

2005-12-22

arxiv.org/abs/hep-th/0512283v2

Commun.Math.Phys.274:31-64,2007

Physics

High Energy Physics

High Energy Physics - Theory

46 pages, 9 figures. Version 2 contains corrected proofs of Lemma 2 and Theorem 1, and an improved discussion of the WZW bundl

Scientific paper

10.1007/s00220-007-0271-x

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.

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