Home /  EGN Colloquium: Mathematical predictions/results from class S theories

Seminar

EGN Colloquium: Mathematical predictions/results from class S theories May 10, 2018 (01:30 PM PDT - 03:00 PM PDT)
Parent Program:
Location: SLMath: Eisenbud Auditorium
Speaker(s) Hiraku Nakajima (Kavli Institute for the Physics and Mathematics of the Universe )
Description No Description
Keywords and Mathematics Subject Classification (MSC)
Primary Mathematics Subject Classification No Primary AMS MSC
Secondary Mathematics Subject Classification No Secondary AMS MSC
Video
No Video Uploaded
Abstract/Media

A class S theory is a 4d N=2 SUSY quantum field theory associated with a Riemann surface with/without punctures and a complex reductive group. It is not a conventional quantum field theory, given by lagrangian and a path integral. Nevertheless its existence predicts many mathematical assertions, e.g., S-duality of N=4 gauge theory, modularity of Vafa Witten partition function, AGT correspondence, and so on. After a brief explanation of a class S theory, I will talk a construction of its Higgs branch based on a ring object on the affine Grassmannian, which is my recent joint work with Braverman and Finkelberg.

No Notes/Supplements Uploaded No Video Files Uploaded