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

  • Masanori HanadaEmail author
  • Carlos Hoyos
  • Andreas Karch
Article
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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.

Keywords

Duality in Gauge Field Theories 1/N Expansion Chern-Simons Theories AdS-CFT Correspondence 
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Copyright information

© SISSA, Trieste, Italy 2012

Authors and Affiliations

  1. 1.Department of PhysicsUniversity of WashingtonSeattleU.S.A.
  2. 2.Raymond and Beverly Sackler School of Physics and AstronomyTel-Aviv UniversityRamat-AvivIsrael

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