Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-07-22
Commun.Math.Phys.306:511-563,2011
Physics
High Energy Physics
High Energy Physics - Theory
51 pages, 5 figures; v3: minor changes
Scientific paper
10.1007/s00220-011-1253-6
The partition function of N=6 supersymmetric Chern-Simons-matter theory (known as ABJM theory) on S^3, as well as certain Wilson loop observables, are captured by a zero dimensional super-matrix model. This super-matrix model is closely related to a matrix model describing topological Chern-Simons theory on a lens space. We explore further these recent observations and extract more exact results in ABJM theory from the matrix model. In particular we calculate the planar free energy, which matches at strong coupling the classical IIA supergravity action on AdS_4 x CP^3 and gives the correct N^{3/2} scaling for the number of degrees of freedom of the M2 brane theory. Furthermore we find contributions coming from world-sheet instanton corrections in CP^3. We also calculate non-planar corrections, both to the free energy and to the Wilson loop expectation values. This matrix model appears also in the study of topological strings on a toric Calabi-Yau manifold, and an intriguing connection arises between the space of couplings of the planar ABJM theory and the moduli space of this Calabi-Yau. In particular it suggests that, in addition to the usual perturbative and strong coupling (AdS) expansions, a third natural expansion locus is the line where one of the two 't Hooft couplings vanishes and the other is finite. This is the conifold locus of the Calabi-Yau, and leads to an expansion around topological Chern-Simons theory. We present some explicit results for the partition function and Wilson loop observables around this locus.
Drukker Nadav
Marino Marcos
Putrov Pavel
No associations
LandOfFree
From weak to strong coupling in ABJM theory does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with From weak to strong coupling in ABJM theory, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and From weak to strong coupling in ABJM theory will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-611464