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Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers

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Abstract

We show that the recently proposed large N equivalence between ABJM theories with Chern-Simons terms of different rank and level, U(N 1)k1 × U(N 1) − k1 and U(N 2) k2 × U(N 2)−k2 , but the same value of N′ = N 1 k 1 = N2k2, can be explained using planar equivalence in the mirror duals. The combination of S-dualities and orbifold equivalence can be applied to other cases as well, with very appealing results. As an example we show that two different quiver theories with k nodes can be easily shown to be Seiberg dual through the orbifold equivalence, but it requires order k 2 steps to give a proof when Seiberg duality is performed node by node.

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Authors and Affiliations

  1. Department of Physics, University of Washington, Seattle, WA, 98195-1560, U.S.A.

    Masanori Hanada, Carlos Hoyos & Andreas Karch

  2. Raymond and Beverly Sackler School of Physics and Astronomy, Tel-Aviv University, Ramat-Aviv, 69978, Israel

    Carlos Hoyos

Authors
  1. Masanori Hanada
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  2. Carlos Hoyos
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  3. Andreas Karch
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Correspondence to Masanori Hanada.

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ArXiv ePrint: 1110.3803

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Hanada, M., Hoyos, C. & Karch, A. Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers. J. High Energ. Phys. 2012, 68 (2012). https://doi.org/10.1007/JHEP01(2012)068

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