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A-models in three and four dimensions

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.

preprint2010arXivOpen access
Anton KapustinKetan Vyas
hep-th
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Open access2 authors1 topic
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Anton KapustinKetan Vyas

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