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

@article{Aharony2008N6SC,
  title={N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals},
  author={Ofer Aharony and Oren Bergman and Daniel Louis Jafferis and Juan Martin Maldacena},
  journal={Journal of High Energy Physics},
  year={2008},
  volume={2008},
  pages={091-091}
}
We construct three dimensional Chern-Simons-matter theories with gauge groups U(N) × U(N) and SU(N) × SU(N) which have explicit = 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… Expand

Figures from this paper

Fractional M2-branes
We consider two generalizations of the = 6 superconformal Chern-Simons-matter theories with gauge group U(N) × U(N). The first generalization is to = 6 superconformal U(M) × U(N) theories, and theExpand
Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence
We discuss the N = 2 superspace formulation of the N = 8 superconformal Bagger-Lambert-Gustavsson theory, and of the N = 6 superconformal Aharony-Bergman-Jafferis-Maldacena U(N) x U(N) Chern-SimonsExpand
N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds
We explore further our recent generalization of the = 4 superconformal Chern-Simons theories of Gaiotto and Witten. We find and construct explicitly theories of enhanced = 5 or 6 supersymmetry,Expand
Integrable spin chain of superconformal U(M) × Chern-Simons theory
= 6 superconformal Chern-Simons theory with gauge group U(M) × is dual to N M2-branes and (M−N) fractional M2-branes, equivalently, discrete 3-form holonomy at 4/k orbifold singularity. We show that,Expand
M 2M 5 systems in N = 6 Chern-Simons theory
We study two aspects of M5-branes in N = 6 U(N) × U(N) Chern-Simons gauge theory. We first examine multiple M2-branes ending on a M5-brane. We study Basu-Harvey type cubic equations, fuzzy funnelExpand
D2-brane Chern-Simons theories: F -maximization = a-maximization
A bstractWe study a system of N D2-branes probing a generic Calabi-Yau three-fold singularity in the presence of a non-zero quantized Romans mass n. We argue that the low-energy effective cN=2$$Expand
A supermatrix model for N = 6 super Chern-Simons-matter theory
We construct the Wilson loop operator of N = 6 super Chern-Simons-matter which is invariant under half of the supercharges of the theory and is dual to the simplest macroscopic open string in AdS4Expand
M2-brane Perspective on N=6 Super Chern-Simons Theory at Level k
Recently, O. Aharony, O. Bergman, D. L. Jafferis and J. Maldacena (ABJM) proposed three-dimensional super Chern-Simons-matter theory, which at level k is supposed to describe the low energy limit ofExpand
On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
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 AdS 4 × ( S 7 / Z k )Expand
Superconformal Chern-Simons Theories and Their String Theory Duals
In this thesis, we consider two aspects of the conjectured gauge theory/string theory correspondence between three-dimensional maximal supersymmetric conformal field theories, which describe theExpand
...
1
2
3
4
5
...

References

SHOWING 1-10 OF 98 REFERENCES
Script N = 8 superconformal gauge theories and M2 branes
Based on recent developments, in this letter we find 2+1 dimensional gauge theories with scale invariance and N=8 supersymmetry. The gauge theories are defined by a Lagrangian and are based on anExpand
Chern-Simons theories with supersymmetries in three-dimensions
We study various Chern–Simons (CS) theories in three dimensions with extended super-symmetries. Starting with remarks on nonsupersymmetric cases, we give (i) N = 2 non-Abelian CS theories, (ii) N = 4Expand
M theory on AdSp×S11−p and superconformal field theories
We study the large N limit of the interacting superconformal field theories associated with N M5 branes or M2 branes using the recently proposed relation between these theories and M theory on AdSExpand
N = 8 Superconformal Chern--Simons Theories
A Lagrangian description of a maximally supersymmetric conformal field theory in three dimensions was constructed recently by Bagger and Lambert (BL). The BL theory has SO(4) gauge symmetry andExpand
Fivebranes from gauge theory
We study theories with 16 supercharges and a discrete energy spectrum. One class of theories has symmetry group SU(2|4). They arise as truncations of N=4 super Yang-Mills theory. They include theExpand
The Large-N Limit of Superconformal Field Theories and Supergravity
We show that the large-N limits of certainconformal field theories in various dimensions includein their Hilbert space a sector describing supergravityon the product of anti-de Sitter spacetimes,Expand
Notes on superconformal Chern-Simons-Matter theories
The three dimensional = 2 supersymmetric Chern-Simons theory coupled to matter fields, possibly deformed by a superpotential, give rise to a large class of exactly conformal theories with LagrangianExpand
Baryons and domain walls in an N=1 superconformal gauge theory
Coincident D3-branes placed at a conical singularity are related to string theory on AdS{sub 5}{times}X{sub 5}, for a suitable five-dimensional Einstein manifold X{sub 5}. For the example of theExpand
Comments on the Bagger-Lambert theory and multiple M2-branes
We study the SO(8) superconformal theory proposed recently by Bagger and Lambert as a possible worldvolume theory for multiple M2-branes. For their explicit example with gauge group SO(4), we rewriteExpand
The Chern-Simons coefficient in supersymmetric Yang-Mills Chern-Simons theories
Abstract We study one-loop corrections to the Chern-Simons coefficient κ = k 4π in N = 1, 2, 3 supersymmetric Yang-Mills Chern-Simons systems. In the pure bosonic case, the shift of the parameter kExpand
...
1
2
3
4
5
...