Compact Gauge Fields for Supersymmetric Lattices

Abstract

We show that a large class of Euclidean extended supersymmetric lattice gauge theories constructed in [hep-lat/0302017 - hep-lat/0503039] can be regarded as compact formulations by using the polar decomposition of the complex link fields. In particular, the gauge part of the supersymmetric lattice action is the standard Wilson action. This formulation facilitates the construction of gauge invariant operators.

15 pages, 2 figures. Minor changes

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Cited by in corpus (25)

• Exact lattice supersymmetry
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Twisted Supersymmetric Gauge Theories and Orbifold Lattices
• From Twisted Supersymmetry to Orbifold Lattices
• Deconstruction and other approaches to supersymmetric lattice field theories
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• 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
• Quantum simulation of gauge theory via orbifold lattice
• Absence of sign problem in two-dimensional N=(2,2) super Yang-Mills on lattice
• Relationship between various supersymmetric lattice models
• Twisted supersymmetric sigma model on the lattice
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Supersymmetric Deformations of Type IIB Matrix Model as Matrix Regularization of N=4 SYM
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Supersymmetric Gauge Theory on the Graph
• 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
• The properties of $D1$-branes from lattice super Yang--Mills theory using gauge/gravity duality