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arxiv: 1002.4241 · v1 · submitted 2010-02-23 · ✦ hep-th

A-models in three and four dimensions

Anton Kapustin , Ketan Vyas This is my paper
classification ✦ hep-th
keywords dimensionsfoura-modela-modelsanalogousapproachassociatedboundary
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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.

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