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Notes on SUSY gauge theories on three-sphere

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Abstract

We extend theformulaforpartitionfunctions of \(\mathcal{N}=2 \) superconformalgauge 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 \(\mathcal{N}=4 \) SQED with two electron hypermultiplets is preserved under a certain mass deformation which breaks the supersymmetry to \(\mathcal{N}=2 \).

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Authors and Affiliations

  1. Yukawa Institute for Theoretical Physics, Kyoto University, Kitashirakawa-Oiwakecho, Sakyo-ku, Kyoto, 606–8502, Japan

    Naofumi Hama & Kazuo Hosomichi

  2. DAMTP, Centre for Mathematical Sciences, Cambridge University, Wilberforce Road, Cambridge, CB3 0WA, U.K.

    Sungjay Lee

Authors
  1. Naofumi Hama
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  2. Kazuo Hosomichi
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  3. Sungjay Lee
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Correspondence to Kazuo Hosomichi.

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ArXiv ePrint: 1012.3512

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Hama, N., Hosomichi, K. & Lee, S. Notes on SUSY gauge theories on three-sphere. J. High Energ. Phys. 2011, 127 (2011). https://doi.org/10.1007/JHEP03(2011)127

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