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arXiv · hep-th/0512283

Unoriented WZW Models and Holonomy of Bundle Gerbes

Urs Schreiber·Christoph Schweigert·Konrad Waldorf
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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.

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Urs Schreiber, Christoph Schweigert, Konrad Waldorf. 2007-07-01. Unoriented WZW Models and Holonomy of Bundle Gerbes. https://doi.org/10.1007/s00220-007-0271-x

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