Topological Sigma Models with H-Flux.
Authors | |
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Year of publication | 2008 |
Type | Article in Periodical |
Magazine / Source | Journal of High Energy Physics |
MU Faculty or unit | |
Citation | |
Web | eprint |
Field | Elementary particles and high-energy physics |
Keywords | topological sigma models; generalized Kähler geometry |
Description | 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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