N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
arXiv:0811.0529 · doi:10.1103/PhysRevD.79.065003
Abstract
We investigate the large N reduced model of gauge theory on a curved spacetime through the plane wave matrix model. We formally derive the action of the N=4 supersymmetric Yang-Mills theory on R \times S^3 from the plane wave matrix model in the large N limit. Furthermore, we evaluate the effective action of the plane wave matrix model up to the two-loop level at finite temperature. We find that the effective action is consistent with the free energy of the N=4 supersymmetric Yang-Mills theory on S^3 at high temperature limit where the planar contributions dominate. We conclude that the plane wave matrix model can be used as a large N reduced model to investigate nonperturbative aspects of the N=4 supersymmetric Yang-Mills theory on R \times S^3.
31pages: added comments and references
References in corpus (10)
- Fivebranes from gauge theory
- Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
- Describing Curved Spaces by Matrices
- N=4 Super Yang-Mills from the Plane Wave Matrix Model
- Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
- Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
- Quantum Mechanical Sectors in Thermal N=4 Super Yang-Mills on RxS^3
- Stability of Fuzzy S^2 x S^2 x S^2 in IIB Type Matrix Models
- Fuzzy Spacetime with SU(3) Isometry in IIB Matrix Model
- Effective Actions of IIB Matrix Model on S^3
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