On 2-Categories and 3d A-models


Khan, A. (2022). On 2-Categories and 3d A-models. Perimeter Institute. https://pirsa.org/22120016


Khan, Ahsan. On 2-Categories and 3d A-models. Perimeter Institute, Dec. 09, 2022, https://pirsa.org/22120016


          @misc{ pirsa_22120016,
            doi = {10.48660/22120016},
            url = {https://pirsa.org/22120016},
            author = {Khan, Ahsan},
            keywords = {Mathematical physics},
            language = {en},
            title = {On 2-Categories and 3d A-models},
            publisher = {Perimeter Institute},
            year = {2022},
            month = {dec},
            note = {PIRSA:22120016 see, \url{https://pirsa.org}}

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/96574302292?pwd=dkpIVXN0UmFiRkdkenFzc2o2Nko0dz09