Seminar
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| Location: | SLMath: Eisenbud Auditorium, Online/Virtual |
Mathematical physics for mathematicians: The mathematics of 3d N=4 theories and 3d mirror symmetry II
In the last talk we learned how to write down the fields and equations for the 3d N=4 theory starting from 6d and defined the Higgs and (classical) Coulomb branch. In this talk we will examine the two 3d TQFTs we can extract from these equations. The 3d A-model, also known as 3d Seiberg-Witten theory, is constructed using the symplectic topology of the Higgs branch and 3d B-model, also known as Rozansky-Witten theory is constructed using the algebraic geometry of the Higgs branch. 3d mirror symmetry tells us that the 3d A-model of one theory is the 3d B-model of its mirror. This observation lies behind the BFN construction of the (quantum corrected) Coulomb branch. If time permits will also explain how 3d mirror symmetry is related to 2d mirror symmetry and the geometric Langlands program.
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