Speaker
Pietro Longhi
(Uppsala University)
Description
In this talk I will review recent progress on supersymmetry-protected interactions among M2 branes with boundaries on M5 branes, and related implications for dualities of 3d N=2 QFTs. We consider M theory in the background of the resolved conifold, with M5 branes wrapping a Lagrangian submanifold L. For a large class of Lagrangians, known as knot conormals, we establish a Lagrangian description of the 3d-3d dual QFT, and show that the spectrum of BPS vortices is described by a quiver, whose structure encodes the linking of finitely many M2 branes with boundaries on L. A duality web of 3d N=2 QFTs is shown to arise by modifying the linking structure of the basic M2 branes. Based on works with Kucharski, Ekholm, Nakamura, and Gupta.
