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Special Geometry Seminar

Tuesday, February 6, 2018
11:00am to 12:00pm
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Building 15, Room 131
Vertex algebras and three dimensional gauge theories
Kevin Costello, Theoretical Physics, Perimeter Institute,

Three dimensional gauge theories (with N=4 or N=2 supersymmetries) have played an important role in recent mathematical work on symplectic duality and related topics. I will explain how to construct from such three dimensional theories a vertex algebra of operators that lives at the boundary. Dualities (such as symplectic duality) become, conjecturally, isomorphisms of vertex algebras. I will explain a conjecture (joint with Gaiotto and Creutzig) that the derived center of the boundary vertex algebra is the algebra of Coulomb branch operators constructed by Braverman, Finkelberg and Nakajima.