On a new type of orbifold equivalence and M-theoretic AdS(4)/CFT3 duality

M. Hanada; C. Hoyos; Hidehiko Shimada

doi:10.1016/j.physletb.2011.12.052

On a new type of orbifold equivalence and M-theoretic AdS(4)/CFT3 duality

M. Hanada, C. Hoyos, Hidehiko Shimada

Niels Bohr International Academy

7 Citations (Scopus)

Abstract

We consider the large-N limit of N=6 U(N)×U(N) superconformal Chern-Simons (ABJM) theory with fixed level k, which is conjectured to be dual to M-theory on AdS4×(S7/Zk) background. We point out that the so-called orbifold equivalence on the gravity side, combined with the AdS ₄/CFT ₃ 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.

Original language	English
Journal	Physics Letters B
Volume	707
Issue number	3-4
Pages (from-to)	394-397
Number of pages	3
ISSN	0370-2693
DOIs	https://doi.org/10.1016/j.physletb.2011.12.052
Publication status	Published - 1 Feb 2012

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abstract = "We consider the large-N limit of N=6 U(N)×U(N) superconformal Chern-Simons (ABJM) theory with fixed level k, which is conjectured to be dual to M-theory on AdS4×(S7/Zk) background. We point out that the so-called orbifold equivalence on the gravity side, combined with the AdS 4/CFT 3 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.",

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T1 - On a new type of orbifold equivalence and M-theoretic AdS(4)/CFT3 duality

AU - Hanada, M.

AU - Hoyos, C.

AU - Shimada, Hidehiko

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Y1 - 2012/2/1

N2 - We consider the large-N limit of N=6 U(N)×U(N) superconformal Chern-Simons (ABJM) theory with fixed level k, which is conjectured to be dual to M-theory on AdS4×(S7/Zk) background. We point out that the so-called orbifold equivalence on the gravity side, combined with the AdS 4/CFT 3 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.

AB - We consider the large-N limit of N=6 U(N)×U(N) superconformal Chern-Simons (ABJM) theory with fixed level k, which is conjectured to be dual to M-theory on AdS4×(S7/Zk) background. We point out that the so-called orbifold equivalence on the gravity side, combined with the AdS 4/CFT 3 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.

U2 - 10.1016/j.physletb.2011.12.052

DO - 10.1016/j.physletb.2011.12.052

M3 - Journal article

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JO - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

JF - Physics Letters B: Particle Physics, Nuclear Physics and Cosmology

IS - 3-4

ER -

On a new type of orbifold equivalence and M-theoretic AdS(4)/CFT3 duality

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