Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions

Abstract

We present results from lattice simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions. The lattice formulation we use was developed in \cite{2dpaper} and retains both gauge invariance and an exact (twisted) supersymmetry for any lattice spacing. Results for both U(2) and SU(2) gauge groups are given. We focus on supersymmetric Ward identities, the phase of the Pfaffian resulting from integration over the Grassmann fields and the nature of the quantum moduli space.

34 pages, 12 figures, 7 tables. Eqn. 6.1 corrected. Version to be published in JHEP

References in corpus (61)

• Monopoles, Duality and Chiral Symmetry Breaking in N=2 Supersymmetric QCD
• Supergravity and The Large N Limit of Theories With Sixteen Supercharges
• Supersymmetry on a Spatial Lattice
• Supersymmetry on a Euclidean Spacetime Lattice I: A Target Theory with Four Supercharges
• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
• Black hole-black string phase transitions in thermal 1+1-dimensional supersymmetric Yang-Mills theory on a circle
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• An Algorithm for Gluinos on the Lattice
• Exact 2+1 flavour RHMC simulations
• Exact Lattice Supersymmetry: the Two-Dimensional N=2 Wess-Zumino Model
• Krylov space solvers for shifted linear systems
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• A geometrical approach to N=2 super Yang-Mills theory on the two dimensional lattice
• Lattice Supersymmetry and Topological Field Theory
• Twisted Superspace on a Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Super Yang-Mills on the lattice with domain wall fermions
• The supersymmetric Ward identities on the lattice
• Finite Yang-Mills Integrals
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
• A lattice study of the two-dimensional Wess Zumino model
• Stability in Asymptotically AdS Spaces
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Black Holes and the SYM Phase Diagram
• Monte Carlo simulation of SU(2) Yang-Mills theory with light gluinos
• Black Holes and the Super Yang-Mills diagram. II
• Non-positive fermion determinants in lattice supersymmetry
• A lattice path integral for supersymmetric quantum mechanics
• Four-Dimensional N=1 Supersymmetric Yang-Mills Theory on the Lattice without Fine-Tuning
• Nicolai mapping vs. exact chiral symmetry on the lattice
• Lattice supersymmetry, superfields and renormalization
• Exact Supersymmetry on the Lattice
• Less naive about supersymmetric lattice quantum mechanics
• Supersymmetry on the lattice and the Leibniz rule
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• The fermion determinant in (4,4) 2d lattice super-Yang-Mills
• Lattice Sigma Models with Exact Supersymmetry
• Deconstruction, Lattice Supersymmetry, Anomalies and Branes
• Twisted Superspace for N=D=2 Super BF and Yang-Mills with Dirac-Kähler Fermion Mechanism
• Compact Gauge Fields for Supersymmetric Lattices
• Matrix Theory Black Holes and the Gross Witten Transition
• N=2 Wess-Zumino model on the d=2 Euclidean lattice
• N=4 Twisted Superspace from Dirac-Kahler Twist and Off-shell SUSY Invariant Actions in Four Dimensions
• Perturbative Study of the Supersymmetric Lattice Theory from Matrix Model
• R-symmetry in the Q-exact (2,2) 2d lattice Wess-Zumino model
• Supersymetry on the Noncommutative Lattice
• Exact Lattice Supersymmetry from Topological Field Theory
• Supersymmetry breaking in two dimensions: the lattice N=1 Wess-Zumino model
• Wess-Zumino model with exact supersymmetry on the lattice
• From the Dirac Operator to Wess-Zumino Models on Spatial Lattices
• N=(1,1) Super Yang-Mills on a (2+1) Dimensional Transverse Lattice with one Exact Supersymmetry
• N=1 super Yang-Mills on a (3+1) dimensional transverse lattice with one exact supersymmetry
• Towards the Super Yang-Mills Theory on the Lattice
• Phase diagram of the lattice Wess-Zumino model from rigorous lower bounds on the energy
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
• Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics
• A solution to the fermion doubling problem for supersymmetric theories on the transverse lattice
• Lattice Supersymmetry via Twisting
• Exact supersymmetry on the lattice: the Wess-Zumino model

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• 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
• Towards lattice simulation of the gauge theory duals to black holes and hot strings
• From Twisted Supersymmetry to Orbifold Lattices
• 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
• Testing holography using lattice super-Yang--Mills on a 2-torus
• Relationship between various supersymmetric lattice models
• Lattice formulation of (2,2) supersymmetric gauge theories with matter fields
• Twisted supersymmetric sigma model on the lattice
• First results from simulations of supersymmetric lattices
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• Two-dimensional N=(2,2) Supersymmetric Lattice Gauge Theory with Matter Fields in the Fundamental Representation
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Lattice formulation of three-dimensional $\mathcal{N}=4$ gauge theory with fundamental matter fields
• On the restoration of supersymmetry in twisted two-dimensional lattice Yang-Mills theory
• An object oriented code for simulating supersymmetric Yang--Mills theories
• Matrix formulation of superspace on 1D lattice with two supercharges
• Nonperturbative study of dynamical SUSY breaking in $\mathcal{N}=(2,2)$ Yang-Mills
• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• Exact Vacuum Energy of Orbifold Lattice Theories
• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
• Supersymmetric quiver gauge theories on the lattice
• Mass spectrum of $2$-dimensional $\mathcal{N}=(2,2)$ super Yang-Mills theory on the lattice
• Supersymmetric Gauge Theory on the Graph
• Advances and applications of lattice supersymmetry
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• A deconstruction lattice description of the D1/D5 brane world-volume gauge theory
• Spontaneous supersymmetry breaking in two dimensional lattice super QCD
• Nonperturbative phase diagram of two-dimensional $\mathcal{N}=(2,2)$ super-Yang--Mills