Twisted Supersymmetric Gauge Theories and Orbifold Lattices

Abstract

We examine the relation between twisted versions of the extended supersymmetric gauge theories and supersymmetric orbifold lattices. In particular, for the $\mathcal{N}=4$ SYM in $d=4$, we show that the continuum limit of orbifold lattice reproduces the twist introduced by Marcus, and the examples at lower dimensions are usually Blau-Thompson type. The orbifold lattice point group symmetry is a subgroup of the twisted Lorentz group, and the exact supersymmetry of the lattice is indeed the nilpotent scalar supersymmetry of the twisted versions. We also introduce twisting in terms of spin groups of finite point subgroups of $R$-symmetry and spacetime symmetry.

32 pages

References in corpus (6)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Deconstruction and other approaches to supersymmetric lattice field theories
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Exact Lattice Supersymmetry from Topological Field Theory
• Recent Developments in Lattice Supersymmetry

Cited by in corpus (69)

• Exact lattice supersymmetry
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• From Twisted Supersymmetry to Orbifold Lattices
• Thermal phases of D1-branes on a circle from lattice super Yang-Mills
• Toward Picard-Lefschetz Theory of Path Integrals, Complex Saddles and Resurgence
• 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
• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Perturbative renormalization of lattice N=4 super Yang-Mills theory
• Introductory lectures to large-N QCD phenomenology and lattice results
• N=4 Supersymmetry on a Space-Time Lattice
• Parallel software for lattice N=4 supersymmetric Yang--Mills theory
• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
• Relationship between various supersymmetric lattice models
• A Critique of the Link Approach to Exact Lattice Supersymmetry
• Twisted supersymmetric sigma model on the lattice
• First results from simulations of supersymmetric lattices
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Phase Structure of Lattice N=4 Super Yang-Mills
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• On the sign problem in 2D lattice super Yang--Mills
• Review of Lattice Supersymmetry and Gauge-Gravity Duality
• Real space renormalization group for twisted lattice N=4 super Yang-Mills
• Progress and prospects of lattice supersymmetry
• 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
• Supersymmetry on the lattice
• Lifting flat directions in lattice supersymmetry
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• On the restoration of supersymmetry in twisted two-dimensional lattice Yang-Mills theory
• Lattice studies of supersymmetric gauge theories
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• Lattice formulation of three-dimensional $\mathcal{N}=4$ gauge theory with fundamental matter fields
• An object oriented code for simulating supersymmetric Yang--Mills theories
• Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Supersymmetric quiver gauge theories on the lattice
• Two-dimensional $\mathcal{N}=(2,2)$ Lattice Gauge Theories with Matter in Higher Representations
• Five-dimensional topologically twisted maximally supersymmetric Yang-Mills theory
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Supersymmetric Gauge Theory on the Graph
• Results from lattice simulations of N=4 supersymmetric Yang--Mills
• Topological twisting of conformal supercharges
• General solution of cyclic Leibniz rule
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Latest results from lattice N=4 supersymmetric Yang--Mills
• A Euclidean Lattice Formulation of D=5 Maximally Supersymmetric Yang-Mills Theory
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• Eigenvalue spectrum and scaling dimension of lattice $\mathcal{N}=4$ supersymmetric Yang-Mills
• Topological gravity on the lattice
• On the removal of the trace mode in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Orientifolded Matrices and Supersymmetries that Give Rise to Spacetime Directional Asymmetry of Effective Interactions
• Estimate of time-scale for the current relaxation of percolative Random Resistor cum Tunneling Network model
• Supersymmetric lattices - a brief introduction
• The geometric Langlands twist in five and six dimensions
• Lattice Formulation of $\mathcal{N}=2^{\ast }$ Yang-Mills
• Two dimensional super QCD on a lattice
• Anti-de Sitter space from supersymmetric gauge theory
• Three dimensional lattice gravity as supersymmetric Yang-Mills theory
• Spontaneous supersymmetry breaking in two dimensional lattice super QCD