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Script N = 6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals

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Published 23 October 2008 • , ,

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Author e-mails

ofer.aharony@weizmann.ac.il

Author affiliations

1 Department of Particle Physics, The Weizmann Institute of Science, Rehovot 76100, Israel

2 School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, U.S.A.

3 Department of Physics, Technion, Haifa 32000, Israel

4 Department of Physics, Rutgers University, Piscataway, NJ 08855, U.S.A.

Dates

Received 31 July 2008
Accepted 10 October 2008
Published

Citation

Ofer Aharony et al JHEP10(2008)091

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DOI

https://doi.org/10.1088/1126-6708/2008/10/091

E-print

http://arxiv.org/abs/0806.1218

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1126-6708/2008/10/091

Abstract

We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit Script N = 6 superconformal symmetry. Using brane constructions we argue that the U(N) × U(N) theory at level k describes the low energy limit of N M2-branes probing a C4/Zk singularity. At large N the theory is then dual to M-theory on AdS4 × S7/Zk. The theory also has a 't Hooft limit (of large N with a fixed ratio N/k) which is dual to type IIA string theory on AdS4 × CP3. For k = 1 the theory is conjectured to describe N M2-branes in flat space, although our construction realizes explicitly only six of the eight supersymmetries. We give some evidence for this conjecture, which is similar to the evidence for mirror symmetry in d = 3 gauge theories. When the gauge group is SU(2) × SU(2) our theory has extra symmetries and becomes identical to the Bagger-Lambert theory.

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