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Boundaries and duality for 3d gauge theories

October 29, 2024 @ 4:15 pm - 6:15 pm

Geometry and Quantum Theory Seminar

Speaker: Ben Gammage, Harvard University

Title: Boundaries and duality for 3d gauge theories

Abstract: 3d N=4 supersymmetric gauge theory has a pair of topological twists, the A-model and B-model, the latter of which is also known as Rozansky-Witten theory. Conjecturally, boundary conditions for these TFTs ought to admit descriptions in terms of (microlocal) perverse or coherent sheaves of categories, respectively. Unfortunately, neither of these admits a general mathematical definition; nevertheless, in some cases these are well-defined 2-categories. We will survey these situations and the duality, known as 3d mirror symmetry, which relates the A- and B-models of different theories, together with its relation to the relative Langlands duality of Ben-Zvi–Sakellaridis-Venkatesh.

Details

Date:
October 29, 2024
Time:
4:15 pm - 6:15 pm
Event Category:

Venue

Science Center Hall E
1 Oxford Street
Cambridge, MA 02138 United States
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Phone:
6174967132