Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3

Abstract

Recently a novel large-N reduction has been proposed as a maximally supersymmetric regularization of N=4 super Yang-Mills theory on RxS^3 in the planar limit. This proposal, if it works, will enable us to study the theory non-perturbatively on a computer, and hence to test the AdS/CFT correspondence analogously to the recent works on the D0-brane system. We provide a nontrivial check of this proposal by performing explicit calculations in the large-N reduced model, which is nothing but the so-called plane wave matrix model, around a particular stable vacuum corresponding to RxS^3. At finite temperature and at weak coupling, we reproduce precisely the deconfinement phase transition in the N=4 super Yang-Mills theory on RxS^3. This phase transition is considered to continue to the strongly coupled regime, where it corresponds to the Hawking-Page transition on the AdS side. We also perform calculations around other stable vacua, and reproduce the phase transition in super Yang-Mills theory on the corresponding curved space-times such as RxS^3/Z_q and RxS^2.

24 pages, 4 figures

References in corpus (33)

• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Volume independence in large Nc QCD-like gauge theories
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• Higher derivative corrections to black hole thermodynamics from supersymmetric matrix quantum mechanics
• On lightcone string field theory from Super Yang-Mills and holography
• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Phase Diagram of N=4 Super-Yang-Mills Theory with R-Symmetry Chemical Potentials
• Schwarzschild radius from Monte Carlo calculation of the Wilson loop in supersymmetric matrix quantum mechanics
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• 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
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• N=4 SYM on R x S^3 and Theories with 16 Supercharges
• Fiber Bundles and Matrix Models
• Lattice four-dimensional N=4 SYM is practical
• Phase Transitions of Large N Orbifold Gauge Theories
• Decoupling limits of N=4 super Yang-Mills on R x S^3
• First results from simulations of supersymmetric lattices
• Taming the Leibniz Rule on the Lattice
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Some Implications of Perturbative Approach to AdS/CFT Correspondence
• Numerical tests of AdS/CFT at strong coupling
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• AdS/CFT Correspondence as a Consequence of Scale Invariance
• Thermodynamics of theories with sixteen supercharges in non-trivial vacua
• Matrix formulation of superspace on 1D lattice with two supercharges
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Effective Actions of IIB Matrix Model on S^3

Cited by in corpus (15)

• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• N=4 Supersymmetry on a Space-Time Lattice
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• First Results from Lattice Simulation of the PWMM
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• Real space renormalization group for twisted lattice N=4 super Yang-Mills
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Large N reduction on coset spaces
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• The origin of space-time as seen from matrix model simulations
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• Finite-temperature phase diagram of the BMN matrix model on the lattice
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• On regularizing the AdS superstring worldsheet
• Emergent Geometries from the BMN Matrix Model