Topological Sigma Models with H-Flux

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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

Scientific paper

10.1088/1126-6708/2008/09/057

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.

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