Supersymmetric quiver gauge theories on the lattice

Abstract

In this paper we detail the lattice constructions of several classes of supersymmetric quiver gauge theories in two and three Euclidean spacetime dimensions possessing exact supersymmetry at finite lattice spacing. Such constructions are obtained through the methods of topological twisting and geometric discretization of Euclidean Yang--Mills theories with eight and sixteen supercharges in two and three dimensions. We detail the lattice constructions of two-dimensional quiver gauge theories possessing four and eight supercharges and three-dimensional quiver gauge theories possessing eight supercharges.

v2: 35 pages, 8 figures. Published version. arXiv admin note: text overlap with arXiv:1307.3281

References in corpus (12)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Deconstruction and other approaches to supersymmetric lattice field theories
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Geometry of Orbifolded Supersymmetric Lattice Gauge Theories
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Relating Gauge Theories via Gauge/Bethe Correspondence
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Lattice formulation of three-dimensional $\mathcal{N}=4$ gauge theory with fundamental matter fields
• Eigenvalue spectrum of lattice $\mathcal{N}=4$ super Yang-Mills

Cited by in corpus (8)

• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• Progress and prospects of lattice supersymmetry
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• Lattice studies of supersymmetric gauge theories
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills
• $\mathcal{N}=2^{\ast }$ Yang-Mills on the Lattice