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Published May 4, 2016 | Submitted
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A-models in three and four dimensions

Abstract

We introduce and study a new 3d Topological Field Theory which can be associated to any compact real manifold X. This TFT is analogous to the 2d A-model and reduces to it upon compactification on an interval with suitable boundary conditions. It plays a role in 3d mirror symmetry as well as in the physical approach to the geometric Langlands duality. A similar TFT can be defined in four dimensions.

Additional Information

Submitted on 23 Feb 2010. A.K. would like to thank Lev Rozansky for useful discussions. This work was supported in part by the DOE grant DE-FG02-92ER40701.

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August 19, 2023
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