Topological Sigma Models with H-Flux
High Energy Physics - Theory
2009-12-10 v3
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.
Cite
@article{arxiv.0803.1995,
title = {Topological Sigma Models with H-Flux},
author = {C. M. Hull and U. Lindstrom and L. Melo dos Santos and R. von Unge and M. Zabzine},
journal= {arXiv preprint arXiv:0803.1995},
year = {2009}
}
Comments
16 pages, Appendix added, the version to appear in JHEP