Supersymmetric ground states of 3D N = 4 gauge theories on a Riemann surface

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This paper studies supersymmetric ground states of 3d N = 4 supersymmetric gauge theories on a Riemann surface of genus g. There are two distinct spaces of supersymmetric ground states arising from the A and B type twists on the Riemann surface, which lead to effective supersymmetric quantum mechanics with four supercharges and supermultiplets of type N = (2, 2) and 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.
Publisher
SCIPOST FOUNDATION
Issue Date
2022-02
Language
English
Article Type
Article
Citation

SCIPOST PHYSICS, v.12, no.2

ISSN
2542-4653
DOI
10.21468/SciPostPhys.12.2.072
URI
http://hdl.handle.net/10203/299353
Appears in Collection
PH-Journal Papers(저널논문)
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