Lifting flat directions in lattice supersymmetry

Abstract

We present a procedure to improve the lattice definition of $\mathcal{N}=4$ supersymmetric Yang--Mills theory. The lattice construction necessarily involves U(1) flat directions, and we show how these can be lifted without violating the exact lattice supersymmetry. The basic idea is to modify the equations of motion of an auxiliary field, which determine the moduli space of the system. Applied to numerical calculations, the resulting improved lattice action leads to dramatically reduced violations of supersymmetric Ward identities and much more rapid approach to the continuum limit.

References in corpus (5)

• Deconfinement phase transition in N=4 super Yang-Mills theory on RxS^3 from supersymmetric matrix quantum mechanics
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Testing a novel large-N reduction for N=4 super Yang-Mills theory on RxS^3
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
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• Lattice N=4 super Yang-Mills at Strong Coupling
• Latest results from lattice N=4 supersymmetric Yang--Mills
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• Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N}=4$ supersymmetric Yang-Mills
• Aspects of lattice N=4 supersymmetric Yang--Mills
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills