Topological Sigma Models with H-Flux

Abstract

We investigate the topological theory obtained by twisting the N=(2,2) supersymmetric nonlinear sigma model with target a bihermitian space with torsion. For the special case in which the two complex structures commute, we show that the action is a Q-exact term plus a quasi-topological term. The quasi-topological term is locally given by a closed two-form which corresponds to a flat gerbe-connection and generalises the usual topological term of the A-model. Exponentiating it gives a Wilson surface, which can be regarded as a generalization of a Wilson line. This makes the quantum theory globally well-defined.

16 pages, Appendix added, the version to appear in JHEP

References in corpus (3)

• Unoriented WZW Models and Holonomy of Bundle Gerbes
• The biHermitian topological sigma model
• T-duality, Gerbes and Loop Spaces

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• Type IIB Flux Vacua at Large Complex Structure
• Geometry of the N=2 supersymmetric sigma model with Euclidean worldsheet