PIRSA:18030121 Conference Mathematical physics

DOI10.48660/18030121

Conference/School: Gauge Theory, Geometric Langlands and Vertex Operator Algebras

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

Ring objects in the equivariant derived Satake category and 3d N=4 QFT. Perimeter Institute, Mar. 24, 2018, https://pirsa.org/18030121 

@misc{ pirsa_PIRSA:18030121,
  doi = {10.48660/18030121},
  url = {https://pirsa.org/18030121},
  author = {},
  keywords = {Mathematical physics},
  language = {en},
  title = {Ring objects in the equivariant derived Satake category and 3d N=4 QFT},
  publisher = {Perimeter Institute},
  year = {2018},
  month = {mar},
  note = {PIRSA:18030121 see, \url{https://pirsa.org}}
}

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.

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