In this talk, I will briefly discuss the construction of semiclassical 1/2-BPS boundary conditions and duality interfaces in 3d N=2 theories, following work with T. Dimofte and D. Gaiotto. Then, I will sketch some mathematical applications of these codimension-1 defects to the geometry of triangulated 4-manifolds and chiral algebras, based on work with T. Dimofte and building off related advances by Gadde, Gukov, and Putrov. I will also mention recent and ongoing work on generating 2d dualities from dual "sandwich" configurations of 3d theories sandwiched by both left and right boundary conditions.


Talk Number PIRSA:19080055
Speaker Profile Natalie Paquette