Lattice four-dimensional N=4 SYM is practical

Abstract

We show that nonperturbative lattice studies of four-dimensional N=4 Super-Yang-Mills are within reach. We use Ginsparg-Wilson fermions to avoid gluino masses and an exact implementation of the (chiral) $R$-symmetry, which greatly limits the number of counterterms that must be fine-tuned. Only bosonic operators require fine tuning, so all tunings can be done ``offline'' by a Ferrenberg-Swendsen type reweighting. We show what measurables can be used to perform the tuning.

4 pages

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Cited by in corpus (23)

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• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Progress in four-dimensional lattice supersymmetry
• 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
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Minimal Super Technicolor
• Lattice studies of supersymmetric gauge theories
• Matrix formulation of superspace on 1D lattice with two supercharges
• Large-N reduction for N=2 quiver Chern-Simons theories on S^3 and localization in matrix models
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Technicolor and Beyond: Unification in Theory Space
• Lattice Gauge Theories at the Energy Frontier
• The origin of space-time as seen from matrix model simulations
• Exploring gauge theories with adjoint matter on the lattice
• Lattice Wess-Zumino model with Ginsparg-Wilson fermions: One-loop results and GPU benchmarks
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Majorana fermions and CP-invariance of chiral gauge theories on the lattice
• Supercurrent conservation in the lattice Wess-Zumino model with Ginsparg-Wilson fermions