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.

arXiv comment10 pages, no figure, latex2e

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• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Phase Structure of Lattice N=4 Super Yang-Mills
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
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• Supersymmetric Yang--Mills theories with exact supersymmetry on the lattice
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• Three-dimensional super-Yang--Mills theory on the lattice and dual black branes
• Lifting flat directions in lattice supersymmetry
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• Matrix formulation of superspace on 1D lattice with two supercharges
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Testing the holographic principle using lattice simulations
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• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• A Euclidean Lattice Formulation of D=5 Maximally Supersymmetric Yang-Mills Theory
• Large-$N$ limit of two-dimensional Yang--Mills theory with four supercharges
• Topological gravity on the lattice
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• Anti-de Sitter space from supersymmetric gauge theory
• Spontaneous supersymmetry breaking in two dimensional lattice super QCD
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