PIRSA ID: 22120016
Series:
Event Type: Seminar
Scientific Area(s): Mathematical Physics
End date: 2022-12-09
Speaker(s): Ahsan Khan Ahsan Khan Institute for Advanced Study (IAS)
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/