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arxiv: 1012.3512 · v3 · submitted 2010-12-16 · ✦ hep-th

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Notes on SUSY Gauge Theories on Three-Sphere

Naofumi Hama , Kazuo Hosomichi , Sungjay Lee
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classification ✦ hep-th
keywords gaugetheoriesarbitraryassignmentsbreakscertaincheckdeformation
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We extend the formula for partition functions of N=2 superconformal gauge theories on S^3 obtained recently by Kapustin, Willett and Yaakov, to incorporate matter fields with arbitrary R-charge assignments. We use the result to check that the self-mirror property of N=4 SQED with two electron hypermultiplets is preserved under a certain mass deformation which breaks the supersymmetry to N=2.

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  1. $S^3$ partition functions and Equivariant CY$_4 $/CY$_3$ correspondence from Quantum curves

    hep-th 2026-03 conditional novelty 7.0

    Derives Airy representation for S^3 partition functions in M2-brane theories that exactly matches equivariant topological string predictions and proposes a new CY4 to C x CY3 correspondence via quantum curves.