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Mirrors of 3d Sicilian theories

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Abstract

We consider the compactification of the 6d \( \mathcal{N} = \left( {2,0} \right) \) theories, or equivalently of M-theory 5-branes, on a punctured Riemann surface times a circle. This gives rise to what we call 3d \( \mathcal{N} = 4 \) Sicilian theories, and we find that their mirror theories are star-shaped quiver gauge theories. We also discuss an alternative construction of these 3d theories through 4d \( \mathcal{N} = 4 \) SYM on a graph, which allows us to obtain the 3d mirror via 4d S-duality.

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Authors and Affiliations

  1. Department of Physics, Princeton University, Princeton, NJ, 08544, U.S.A.

    Francesco Benini

  2. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ, 08540, U.S.A.

    Yuji Tachikawa

  3. George P. and Cynthia W. Mitchell Institute for Fundamental Physics, Texas A&M University, College Station, TX, 77843, U.S.A.

    Dan Xie

Authors
  1. Francesco Benini
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  2. Yuji Tachikawa
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  3. Dan Xie
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Correspondence to Yuji Tachikawa.

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ArXiv ePrint: 1007.0992

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Benini, F., Tachikawa, Y. & Xie, D. Mirrors of 3d Sicilian theories. J. High Energ. Phys. 2010, 63 (2010). https://doi.org/10.1007/JHEP09(2010)063

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