Superconformal Chern-Simons Theories and AdS(4)/CFT(3) Correspondence

By Marcus K. Benna, I. Klebanov, T. Klose, M. Smedback. 2008

501 citations recorded by the source corpus.

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-Simons theory. In particular, we prove the full SU(4)R-symmetry of the ABJM theory. We then consider orbifold projections of this theory that give non-chiral and chiral (U( N) x U(N))(n) superconformal quiver gauge theories. We argue that these theories are dual to certain AdS(4) x S-7/(Z(n) x Z (k$) over tilde) backgrounds of M-theory. We also study a SU(3) invariant mass term in the superpotential that makes the N = 8 theory flow to a N = 2 superconformal gauge theory with a sextic superpotential. We conjecture that this gauge theory is dual to the U(1)(R) x SU(3) invariant extremum of the N = 8 gauged supergravity, which was discovered by N. Warner 25 years ago and whose uplifting to 11 dimensions was found more recently.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/194760837d735791a978fbb92b05c640c3d137c2

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Citations in the corpus

Exact results for Wilson loops in superconformal Chern-Simons theories with matter (2009, background): “However, as shown in [16] (specifically, equation (4.”
Chiral flavors and M2-branes at toric CY4 singularities (2009, background): “If N ≥ 3, H7 is 3-Sasakian and hyper-Kähler geometry can be used to construct dual pairs [2–6].”
Multimatrix models and tri-Sasaki Einstein spaces (2010, background): “) the supersymmetry is enhanced to N = 4 [12, 31, 32].”
Spinning strings at one-loop in AdS(4) x P**3 (2008, background): “a certain N = 6 superconformal three-dimensional Chern-Simons theory [3] (see also [ 4 ]).”
Three-dimensional N=6 SCFT's and their membrane dynamics (2008, methodology): “Another way to address this issue is to realize that σ, σ̂ are related in a non-trivial way to the fields A,B, via the equation of motion of the auxiliary field D in the N = 2 superspace formulation [45].”
Spin Chains in N = 6 Superconformal Chern-Simons-Matter Theory (2008, methodology): “See also [9, 16, 17, 18, 19, 20] for subsequent works on this theory, and [2, 3, 4, 5, 6, 7, 8] for recent works on M2-brane world volume theories.”
Integrable spin chain in superconformal Chern-Simons theory (2008, background): “We closely follow notation and convention of [42].”
Tilings, Chern-Simons Theories and M2 Branes (2008, methodology): “This model is presumably one of the chiral orbifolds considered in [17].”
Superstrings on AdS4 × ℂℙ3 as a coset sigma-model (2008, background): “Superconformal Chern-Simons theories [1] conjectured to describe the low-energy world-volume dynamics of multiple M2-branes are receiving nowadays considerable attention [2].”
Studies of the ABJM Theory in a Formulation with Manifest SU(4) R-Symmetry (2008, background): “Although we dis uss the gauge group U(N) × U(N), all of our analysis alsoholds for the straightforward generalization to U(M) × U(N).”
N=5,6 Superconformal Chern-Simons Theories and M2-branes on Orbifolds (2008, background): “[ 27 ]. Note that the N = 6 Lagrangian above looks almost identical to the N = 5 Lagragian (2.35) of the OSp(N |2M) model, except for the reality condition (2.16) for the latter.”
The gauge dual of Romans mass (2009, background): “ki = (−1)ik, the necklace quivers enjoy N = 4 supersymmetry [ 12 ,26], with an SO(4)”