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).
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2023-09-26T14:00:002023-09-26T15:00:00Hemisphere index of 3d N=4 and enumerative geometryEvent Information:
Abstract:
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/2306.16448Event Location:
HENN 318