N=4 Super Yang-Mills from the Plane Wave Matrix Model

Abstract

We propose a nonperturbative definition of N=4 super Yang-Mills (SYM). We realize N=4 SYM on RxS^3 as the theory around a vacuum of the plane wave matrix model. Our regularization preserves sixteen supersymmetries and the gauge symmetry. We perform the 1-loop calculation to give evidences that the superconformal symmetry is restored in the continuum limit.

39 pages, 6 figures, some sentences are improved, references added, typos corrected, version to appear in PRD

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• Toward simulating Superstring/M-theory on a quantum computer
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• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
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• Recent results in large-N lattice gauge theories
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• Two-Dimensional Gauge Theory and Matrix Model
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• On a new type of orbifold equivalence and M-theoretic AdS4/CFT3 duality
• Renormalization group approach to matrix models via noncommutative space
• Green-Schwarz superstring on the lattice
• Finite-matrix formulation of gauge theories on a non-commutative torus with twisted boundary conditions
• The origin of space-time as seen from matrix model simulations
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• The matrix regularization for Riemann surfaces with magnetic fluxes
• Results from lattice simulations of N=4 supersymmetric Yang--Mills
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Extension of IIB Matrix Model by Three-Algebra
• Four-algebraic extension of the IIB matrix model
• The shape of emergent quantum geometry from an N=4 SYM minisuperspace approximation
• A new large-N limit and the planar equivalence outside the planar limit
• Regularization of matrices in the covariant derivative interpretation of matrix models
• Diffeomorphisms on Fuzzy Sphere
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory
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