Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry

Abstract

We construct two-dimensional N=(2,2) lattice super Yang-Mills theory, where the gauge and Higgs fields are all represented by U(N) compact variables, with keeping one exact supercharge along the line of the papers [1,2,3]. Interestingly, requirements of the exact supersymmetry as well as of the compact gauge and Higgs fields lead to the gauge group U(N) rather than SU(N). As a result of the perturbative renormalization argument, the model is shown to flow to the target continuum theory without any fine-tuning. Different from the case of noncompact Higgs fields, the path integral along the flat directions is well-defined in this model.

17 pages, no figure, LaTeX; v2:reference added, v3:minor corrections, v4:version to be published to Physics Letters B

Cited by in corpus (48)

• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Twisted Supersymmetric Gauge Theories and Orbifold Lattices
• 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
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Holographic renormalization for coincident Dp-branes
• Relationship between various supersymmetric lattice models
• A Critique of the Link Approach to Exact Lattice Supersymmetry
• Lattice formulation of (2,2) supersymmetric gauge theories with matter fields
• Twisted supersymmetric sigma model on the lattice
• Lattice Supersymmetry: Equivalence between the Link Approach and Orbifolding
• 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
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Spontaneous supersymmetry breaking in matrix models from the viewpoints of localization and Nicolai mapping
• Vacuum energy of two-dimensional N=(2,2) super Yang-Mills theory
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• On the restoration of supersymmetry in twisted two-dimensional lattice Yang-Mills theory
• A lattice study of N=2 Landau-Ginzburg model using a Nicolai map
• An object oriented code for simulating supersymmetric Yang--Mills theories
• Topologically Twisted $N=(2,2)$ Supersymmetric Yang-Mills Theory on Arbitrary Discretized Riemann Surface
• Matrix formulation of superspace on 1D lattice with two supercharges
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Restoration of supersymmetry in two-dimensional SYM with sixteen supercharges on the lattice
• Lattice formulation of two-dimensional N=(2,2) super Yang-Mills with SU(N) gauge group
• Fermion Actions extracted from Lattice Super Yang-Mills Theories
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Exact Vacuum Energy of Orbifold Lattice Theories
• SUSY WT identity in a lattice formulation of 2D $\mathcal{N}=(2,2)$ SYM
• Anomaly and Sign problem in $\mathcal{N}=(2,2)$ SYM on Polyhedra : Numerical Analysis
• Supersymmetric Gauge Theory on the Graph
• Exact Results in Discretized Gauge Theories
• Advances and applications of lattice supersymmetry
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• Lattice QCD with fixed topology
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Lattice supersymmetry in 1D with two supercharges
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry