Abstract
We extend the coupling to the topological backgrounds, recently worked out for the 2-dimensional BF-model, to the most general Poisson sigma models. The coupling involves the choice of a Casimir function on the target manifold and modifies the BRST transformations. This in turn induces a change in the BRST cohomology of the resulting theory. The observables of the coupled theory are analyzed and their geometrical interpretation is given. We finally couple the theory to 2-dimensional topological gravity: this is the first step to study a topological string theory in propagation on a Poisson manifold. As an application, we show that the gauge-fixed vectorial supersymmetry of the Poisson sigma models has a natural explanation in terms of the theory coupled to topological gravity.
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ArXiv ePrint: 1610.05659
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Rosa, D. The coupling of Poisson sigma models to topological backgrounds. J. High Energ. Phys. 2016, 43 (2016). https://doi.org/10.1007/JHEP12(2016)043
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DOI: https://doi.org/10.1007/JHEP12(2016)043