On 2-Categories and 3d A-models

PIRSA ID: 22120016
Series: Mathematical Series
Event Type: Seminar
Scientific Area(s):
Mathematical Physics
End date:
Speaker(s):
  • Ahsan Khan, Institute for Advanced Study (IAS)
December 9, 2022 at 1:30 PM Bob Room

The Fukaya category of a symplectic manifold is an excellent toy model for exploring the general structure of boundary conditions in two-dimensional topological field theories. In this talk I will explain an analogue for three dimensional theories. The natural playground for boundary conditions in d=3 is the 3d A-model into a hyperKahler target space. Here the fundamental BPS equation is the Fueter equation. I will explain how studying certain boundary value problems for the Fueter equation, one is lead to something resembling a higher categorical structure. I will then argue how a similar structure also seems to appear after performing a massive deformation by a hyperKahler moment map. 

Zoom link:  https://pitp.zoom.us/j/96574302292?pwd=dkpIVXN0UmFiRkdkenFzc2o2Nko0dz09