Supersymmetry on a Spatial Lattice

Abstract

We construct a variety of supersymmetric gauge theories on a spatial lattice, including N=4 supersymmetric Yang-Mills theory in 3+1 dimensions. Exact lattice supersymmetry greatly reduces or eliminates the need for fine tuning to arrive at the desired continuum limit in these examples.

Version 3: Text brought in line with published version (extended discussion of orbifolding)

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Cited by in corpus (141)

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• A Euclidean Lattice Construction of Supersymmetric Yang-Mills Theories with Sixteen Supercharges
• Deconstructing (2,0) and Little String Theories
• Transverse Fivebranes in Matrix Theory
• Exact lattice supersymmetry
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Brane Tilings and Their Applications
• Generalizations of the AdS/CFT correspondence
• Stability of a vacuum nonsingular black hole
• 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
• Twisted Supersymmetric Gauge Theories and Orbifold Lattices
• N=4 Super Yang-Mills from the Plane Wave Matrix Model
• Twisted Superspace on a Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Necessary and sufficient conditions for non-perturbative equivalences of large N orbifold gauge theories
• From Twisted Supersymmetry to Orbifold Lattices
• Deconstruction and other approaches to supersymmetric lattice field theories
• Five lectures on effective field theory
• Non-perturbative equivalences among large N gauge theories with adjoint and bifundamental matter fields
• Restoration of supersymmetry on the lattice: Two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory
• Embedding of theories with SU(2|4) symmetry into the plane wave matrix model
• Lattice formulation of $\mathcal{N}=4$ super Yang-Mills theory
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• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
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• Effective Actions of Matrix Models on Homogeneous Spaces
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• Lattice supersymmetry, superfields and renormalization
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• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Quantum simulation of gauge theory via orbifold lattice
• Progress in four-dimensional lattice supersymmetry
• The fermion determinant in (4,4) 2d lattice super-Yang-Mills
• Lattice Sigma Models with Exact Supersymmetry
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• A proposal of a fine tuning free formulation of 4d N=4 super Yang-Mills
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• Perturbative Study of the Supersymmetric Lattice Theory from Matrix Model
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• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Twisted supersymmetries in lattice $\mathcal{N}=4$ super Yang-Mills theory
• Relations among Supersymmetric Lattice Gauge Theories via Orbifolding
• Supersymmetric Deformations of Type IIB Matrix Model as Matrix Regularization of N=4 SYM
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• Ginsparg-Wilson Formulation of 2D N =(2,2) SQCD with Exact Lattice Supersymmetry
• Two-dimensional N=(2,2) super Yang-Mills theory on computer
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
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• Generalising the Ginsparg-Wilson relation: Lattice Supersymmetry from Blocking Transformations
• 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
• A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
• Deconstruction, 2d lattice Yang-Mills, and the dynamical lattice spacing
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• Three Dimensional N=2 Supersymmetry on the Lattice
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• On black hole thermalization, D0 brane dynamics, and emergent spacetime
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• Formulation of Supersymmetry on a Lattice as a Representation of a Deformed Superalgebra
• The Supersymmetric Ward-Takahashi Identity in 1-Loop Lattice Perturbation Theory. I. General Procedure
• What lattice theorists can do for superstring/M-theory
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• Dynamically Warped Theory Space and Collective Supersymmetry Breaking
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• On the Continuum and Lattice Formulations of N=4 D=3 Twisted Super Yang-Mills
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• Exact Results in Discretized Gauge Theories
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• General solution of cyclic Leibniz rule
• O(a) Improvement of 2D N=(2,2) Lattice SYM Theory
• Deconstructing Defects
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
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• Quark and Lepton Masses from Deconstruction
• Does Yang-Mills theory describe quantum gravity?
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• Two-loop Wess-Zumino model with exact supersymmetry on the lattice
• Quiver Matrix Mechanics for IIB String Theory (II): Generic Dual Tori, Fractional Matrix Membrane and $SL(2,\integer)$ Duality
• Exact Ward-Takahashi identity for the lattice N=1 Wess-Zumino model
• Vafa-Witten Theory on N=2 and N=4 Twisted Superspace in Four Dimensions
• Lattice supersymmetry in 1D with two supercharges
• An anisotropic hybrid non-perturbative formulation for 4D N = 2 supersymmetric Yang-Mills theories
• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Lattice supersymmetry and string phenomenology
• Axial anomaly in the reduced model: Higher representations
• An Alternative Lattice Field Theory Formulation Inspired by Lattice Supersymmetry -Summary of the Formulation-
• A one-loop test for construction of 4D N=4 SYM from 2D SYM via fuzzy sphere geometry
• Numerical approach to SUSY quantum mechanics and the gauge/gravity duality
• A deconstruction lattice description of the D1/D5 brane world-volume gauge theory