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PIRSA:18030121

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https://pirsa.org/18030121

Ring objects in the equivariant derived Satake category and 3d N=4 QFT

(2018). Ring objects in the equivariant derived Satake category and 3d N=4 QFT. Perimeter Institute for Theoretical Physics. https://pirsa.org/18030121

Talk numberPIRSA:18030121
DOI10.48660/18030121
Source RepositoryPIRSA
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Talk Type Conference
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Abstract

The mathematical definition of Coulomb branches of 3d N=4 gauge theories gives ring objects in the equivariant derived Satake category. We have another fundamental example of a ring object, namely the regular sheaf. It corresponds to the 3d N=4 QFT T[G], studied by Gaiotto-Witten. We also have operations on ring objects, corresponding to products, restrictions, Coulomb/Higgs gauging in the `category' of 3d N=4 QFT's. Thus we conjecture that arbitrary 3d N=4 QFT with G-symmetry gives rise a ring object in the derived Satake for G.