Supersymmetric Ground States of 3d $\mathcal{N}=4$ Gauge Theories on a Riemann Surface

Author:

Bullimore Mathew1,Ferrari Andrea12,Kim Heeyeon3

Affiliation:

1. Durham University

2. University of Oxford

3. Rutgers University

Abstract

This paper studies supersymmetric ground states of 3d \mathcal{N}=4𝒩=4 supersymmetric gauge theories on a Riemann surface of genus gg. There are two distinct spaces of supersymmetric ground states arising from the AA and BB type twists on the Riemann surface, which lead to effective supersymmetric quantum mechanics with four supercharges and supermultiplets of type \mathcal{N}=(2,2)𝒩=(2,2) and \mathcal{N}=(0,4)𝒩=(0,4) respectively. We compute the space of supersymmetric ground states in each case, graded by flavour and R-symmetries and in different chambers for real mass and FI parameters, for a large class of supersymmetric gauge theories. The results are formulated geometrically in terms of the Higgs branch geometry. We perform extensive checks of compatibility with the twisted index and mirror symmetry.

Funder

Engineering and Physical Sciences Research Council

Science and Technology Facilities Council

Publisher

Stichting SciPost

Subject

General Physics and Astronomy

Cited by 7 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. Boundary vertex algebras for 3d $\mathcal{N}=4$ rank-0 SCFTs;SciPost Physics;2024-08-16

2. Twisted formalism for 3d $${\mathcal {N}}=4$$ theories;Letters in Mathematical Physics;2024-01-10

3. Boundaries & localisation with a topological twist;Journal of High Energy Physics;2023-10-16

4. Vertex operator algebras and topologically twisted Chern-Simons-matter theories;Journal of High Energy Physics;2023-08-07

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