On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality

Abstract

We consider the large-N limit of \mathcal{N}=6 U(N) \times U(N) superconformal Chern-Simons (ABJM) theory with fixed level k, which is conjectured to be dual to M-theory on AdS4\times (S^7/Z_k) background. We point out that the so-called orbifold equivalence on the gravity side, combined with the AdS4/CFT3 duality, predicts a hitherto unknown type of duality on the gauge theory side. It establishes the equivalence between a class of observables, which are not necessarily protected by supersymmetry, in strongly coupled ABJM theories away from the planar approximation, with different values of k and N but sharing common kN. This limit is vastly different from the planar limit, and hence from the gauge theory point of view the duality is more difficult to explain compared to the previously known analogous equivalence between planar gauge theories, where one can explicitly prove the equivalence diagrammatically using the dominance of the planar diagrams.

8 pages, updated references, published version

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Cited by in corpus (9)

• 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
• Membranes from monopole operators in ABJM theory: large angular momentum and M-theoretic AdS_4/CFT_3
• Localization and Large N reduction on S^3 for the Planar and M-theory limit
• Generating new dualities through the orbifold equivalence: a demonstration in ABJM and four-dimensional quivers
• 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