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Exact results for supersymmetric abelian vortex loops in 2 + 1 dimensions

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Abstract

We define a class of supersymmetric defect loop operators in \( \mathcal{N} \) = 2 gauge theories in 2 + 1 dimensions. We give a prescription for computing the expectation value of such operators in a generic \( \mathcal{N} \) = 2 theory on the three-sphere using localization. We elucidate the role of defect loop operators in IR dualities of supersymmetric gauge theories, and write down their transformation properties under the SL(2, \( \mathbb{Z} \)) action on conformal theories with abelian global symmetries.

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Authors and Affiliations

  1. Department of Physics, California Institute of Technology, 1200 E. California Blvd, Pasadena, CA, U.S.A

    Anton Kapustin

  2. Institute for Advanced Study, Einstein Drive, Princeton, NJ, U.S.A

    Brian Willett

  3. Department of Physics, Princeton Univerity, Princeton, NJ, U.S.A

    Itamar Yaakov

Authors
  1. Anton Kapustin
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  2. Brian Willett
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  3. Itamar Yaakov
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Correspondence to Brian Willett.

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ArXiv ePrint: 1211.2861

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Kapustin, A., Willett, B. & Yaakov, I. Exact results for supersymmetric abelian vortex loops in 2 + 1 dimensions. J. High Energ. Phys. 2013, 99 (2013). https://doi.org/10.1007/JHEP06(2013)099

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  • DOI: https://doi.org/10.1007/JHEP06(2013)099

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