Phase Structure of Lattice N=4 Super Yang-Mills

Abstract

We make a first study of the phase diagram of four-dimensional N=4 super Yang-Mills theory regulated on a space-time lattice. The lattice formulation we employ is both gauge invariant and retains at all lattice spacings one exactly preserved supersymmetry charge. Our numerical results are consistent with the existence of a single deconfined phase at all observed values of the bare coupling.

29 pages, 11 figures. References added, minor edits to text

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• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Direct test of the AdS/CFT correspondence by Monte Carlo studies of N=4 super Yang-Mills theory
• Progress and prospects of lattice supersymmetry
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Lifting flat directions in lattice supersymmetry
• Lattice studies of supersymmetric gauge theories
• On the continuity of the commutative limit of the 4d N=4 non-commutative super Yang-Mills theory
• Supersymmetric quiver gauge theories on the lattice
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Lattice Gauge Theories at the Energy Frontier
• Results from lattice simulations of N=4 supersymmetric Yang--Mills
• Markov Chain Monte Carlo for Dummies
• Supersymmetric Gauge Theory on the Graph
• Lattice N=4 super Yang-Mills at Strong Coupling
• S-duality invariant perturbation theory improved by holography
• Monte Carlo approach to the string/M-theory
• Eigenvalue spectrum of lattice $\mathcal{N}=4$ super Yang-Mills
• Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N}=4$ supersymmetric Yang-Mills
• Spontaneous supersymmetry breaking in two dimensional lattice super QCD
• Two dimensional super QCD on a lattice