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Index for three dimensional superconformal field theories with general R-charge assignments

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Abstract

We derive a general formula of an index for three dimensional \( \mathcal{N} = 2 \) super-conformal field theories with general R-charge assignments to chiral multiplets by using the localization method in S 2 × S 1 background. As examples we compute the index for theories in a few mirror pairs, and confirm the agreement of the indices in each mirror pair.

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Authors and Affiliations

  1. Department of Physics, Tokyo Institute of Technology, Tokyo, 152–8551, Japan

    Yosuke Imamura & Shuichi Yokoyama

  2. Department of Physics, University of Tokyo, Tokyo, 113–0033, Japan

    Yosuke Imamura & Shuichi Yokoyama

Authors
  1. Yosuke Imamura
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  2. Shuichi Yokoyama
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Correspondence to Yosuke Imamura.

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ArXiv ePrint: 1101.0557

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Imamura, Y., Yokoyama, S. Index for three dimensional superconformal field theories with general R-charge assignments. J. High Energ. Phys. 2011, 7 (2011). https://doi.org/10.1007/JHEP04(2011)007

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  • DOI: https://doi.org/10.1007/JHEP04(2011)007

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