A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges

Abstract

We formulate supersymmetric Euclidean spacetime Ad* lattices whose classical continuum limits are U(N) supersymmetric Yang-Mills theories with sixteen supercharges in d=1,2,3 and 4 dimensions. This family includes the especially interesting N=4 supersymmetry in four dimensions, as well as a Euclidean path integral formulation of Matrix Theory on a one dimensional lattice.

arXiv comment49 pages, 4 figures. Appendix, references added, minor typos fixed

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• Twisted Supersymmetric Gauge Theories and Orbifold Lattices
• Loop Equations and bootstrap methods in the lattice
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• From Twisted Supersymmetry to Orbifold Lattices
• Deconstruction and other approaches to supersymmetric lattice field theories
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• Five lectures on effective field theory
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• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Non-conformality of gamma_i-deformed N=4 SYM theory
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Perturbative renormalization of lattice N=4 super Yang-Mills theory
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• Tree-level amplitudes from the pure spinor superstring
• Quantum simulation of gauge theory via orbifold lattice
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
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• N=4 Supersymmetry on a Space-Time Lattice
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Progress in four-dimensional lattice supersymmetry
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• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
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• Lattice four-dimensional N=4 SYM is practical
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• Real space renormalization group for twisted lattice N=4 super Yang-Mills
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• Two-dimensional N=(2,2) super Yang-Mills theory on computer
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• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
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• A Computer Test of Holographic Flavour Dynamics II
• Lifting flat directions in lattice supersymmetry
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
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• Toward QCD on Quantum Computer: Orbifold Lattice Approach
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