Date: Monday, April 22, 2019
Location: 4096 East Hall (4:00 PM to 6:00 PM)
Title: SeibergWitten Theory, AGT Relation and 4D N=1 Supersymmetry
Abstract: 4dimensional N=2 supersymmetric quantum field theories provide many interesting results in mathematical physics. Among them, the SeibergWitten theory can be used to compute some topological invariants, and the AGT relation sets up a connection between 4d quantum field theories and 2d conformal field theories. It was found by Nekrasov that the SeibergWitten theory can be solved using localization in the socalled Omega background. Using some recently developed techniques, we can generalize the previous works to 4d N=1 supersymmetric theories by localizing them on some backgrounds equivalent to the Omega background. This new result can be used to establish the AGT relation in some previously unknown cases (N=2 nonLagrangian theories, N=1 theories, etc.), and may lead to some novel topological invariants in lower dimensions. In this talk, we will discuss these aspects of 4d N=2 and N=1 quantum field theories.
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Speaker: Jun Nian
Institution: UM
Event Organizer:
