Geometry of Orbifolded Supersymmetric Lattice Gauge Theories

Abstract

We prove that the prescription for construction of supersymmetric lattice gauge theories by orbifolding and deconstruction directly leads to Catterall's geometrical discretization scheme in general. These two prescriptions always give the same lattice discretizations when applied to theories of p-form fields. We also show that the geometrical discretization scheme can be applied to more general theories.

10 pages, no figure, latex2e

References in corpus (7)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Relationship between various supersymmetric lattice models
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• Lattice Formulation of Two Dimensional Topological Field Theory

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• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• First results from simulations of supersymmetric lattices
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice studies of supersymmetric gauge theories
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• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
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• Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges
• Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N}=4$ supersymmetric Yang-Mills
• Three dimensional lattice gravity as supersymmetric Yang-Mills theory
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills
• Anti-de Sitter space from supersymmetric gauge theory