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.

arXiv comment24 pages, 4 figures

References in corpus (62)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• M Theory As A Matrix Model: A Conjecture
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• The Bethe-Ansatz for N=4 Super Yang-Mills
• Hidden Symmetries of the AdS_5 x S^5 Superstring
• Bubbling AdS space and 1/2 BPS geometries
• Transcendentality and Crossing
• The Dilatation Operator of Conformal N=4 Super Yang-Mills Theory
• The Hagedorn Transition, Deconfinement and N=4 SYM Theory
• A toy model for the AdS/CFT correspondence
• Monte Carlo studies of supersymmetric matrix quantum mechanics with sixteen supercharges at finite temperature
• Volume independence in large Nc QCD-like gauge theories
• Fivebranes from gauge theory
• Exact Correlators of Giant Gravitons from dual N=4 SYM
• Black hole thermodynamics from simulations of lattice Yang-Mills theory
• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• Transverse Fivebranes in Matrix Theory
• A first order deconfinement transition in large N Yang-Mills theory on a small 3-sphere
• 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
• Large N reduction in the continuum three dimensional Yang-Mills theory
• Plane-wave Matrix Theory from N=4 Super Yang-Mills on RxS^3
• 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
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Planar plane-wave matrix theory at the four loop order: Integrability without BMN scaling
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Towards a Worldsheet Derivation of the Maldacena Conjecture
• Progress in four-dimensional lattice supersymmetry
• 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
• A Monte-Carlo study of the AdS/CFT correspondence: an exploration of quantum gravity effects
• Supersymmetric Deformations of Type IIB Matrix Model as Matrix Regularization of N=4 SYM
• Dynamical aspects of the plane-wave matrix model at finite temperature
• Numerical tests of AdS/CFT at strong coupling
• T-duality, Fiber Bundles and Matrices
• Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
• 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
• N=4 Supersymmetric Yang-Mills on S^3 in Plane Wave Matrix Model at Finite Temperature
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Four-dimensional N=1 super Yang-Mills from matrix model
• 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
• Exact Lattice Supersymmetry at Large N
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Effective Actions of IIB Matrix Model on S^3

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• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Glassy Phase Transition and Stability in Black Holes
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• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Perturbative renormalization of lattice N=4 super Yang-Mills theory
• N=4 Supersymmetry on a Space-Time Lattice
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• First Results from Lattice Simulation of the PWMM
• Finite Volume Phases of Large N Gauge Theories with Massive Adjoint Fermions
• Exact results for perturbative partition functions of theories with SU(2|4) symmetry
• Phase Structure of Lattice N=4 Super Yang-Mills
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Large-N reduced models of supersymmetric quiver, Chern-Simons gauge theories and ABJM
• Toward simulating Superstring/M-theory on a quantum computer
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• The non-perturbative phase diagram of the BMN matrix model
• Real space renormalization group for twisted lattice N=4 super Yang-Mills
• Lifting flat directions in lattice supersymmetry
• A Novel Large-N Reduction on S^3: Demonstration in Chern-Simons Theory
• Comments on large-N volume independence
• Large N reduction on coset spaces
• A Method for Measuring the Witten Index Using Lattice Simulation
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• AdS/CFT and large-N volume independence
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Green-Schwarz superstring on the lattice
• A non-perturbative formulation of N=4 super Yang-Mills theory based on the large-N reduction
• 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
• On regularizing the AdS superstring worldsheet
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• Emergent Geometries from the BMN Matrix Model
• Spontaneous supersymmetry breaking in two dimensional lattice super QCD