Hemisphere index of 3d N=4 and enumerative geometry
Felipe Rosso (firstname.lastname@example.org)
Welcome to this High energy Physics Seminar
All are welcome to this event!
Supersymmetric partition functions often have interesting geometric interpretations. For example, the partition function of the 2d A-model encodes the zero-pointed Gromov Witten invariants of the target space. Such interpretations sometimes allow us to derive new identities or test existing conjectures.
In this talk, I will discuss the partition function of a three-dimensional supersymmetric QED on hemisphere times S^1. I will highlight some interesting aspects of its derivation using supersymmetric localisation and interpret it as a K-theoretic Euler characteristic, a central concept in enumerative geometry. I will also briefly explain its role in testing 3d mirror symmetry (known as symplectic duality in pure mathematics).
Based on https://arxiv.org/abs/2306.16448