Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
arXiv:1110.3803 · doi:10.1007/JHEP01(2012)068
Abstract
We show that the recently proposed large equivalence between ABJM theories with Chern-Simons terms of different rank and level, U(N_1)_{k_1}\times U(N_1)_{-k_1} and U(N_2)_{k_2}\times U(N_2)_{-k_2}, but the same value of N' =N_1 k_1=N_2 k_2, 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.
18 pages, 7 figures, minor changes and references added
References in corpus (10)
- N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
- Gauge Symmetry and Supersymmetry of Multiple M2-Branes
- Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
- Large N Field Theory and AdS Tachyons
- Universality of Phases in QCD and QCD-like Theories
- Orbifold equivalence and the sign problem at finite baryon density
- ABJM Mirrors and a Duality of Dualities
- A Non-Supersymmetric Large-N 3D CFT And Its Gravity Dual
- Non-Supersymmetric Seiberg Duality, Orientifold QCD and Non-Critical Strings
- On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
Cited by in corpus (8)
- Numerical studies of the ABJM theory for arbitrary N at arbitrary coupling constant
- IIB Duals of D=3 N=4 Circular Quivers
- From the planar limit to M-theory
- Localization and Large N reduction on S^3 for the Planar and M-theory limit
- On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
- Holographic Duality for three-dimensional Super-conformal Field Theories
- A new large-N limit and the planar equivalence outside the planar limit
- Dualities from large N orbifold equivalence in Chern-Simons-matter theories with flavor