Lattice Formulation of Supersymmetric Yang-Mills Theories without Fine-Tuning

Abstract

We present a lattice formulation which gives super Yang-Mills theories in any dimensions with simple supersymmetry as well as extended supersymmetry in the continuum limit without fine-tuning. We first formulate super Yang-Mills theories with simple supersymmetry in 3,4,6,10 dimensions, incorporating the gluino on the lattice using the overlap formalism. In 4D, exact chiral symmetry forbids gluino mass, which ensures that the continuum limit is supersymmetric without fine-tuning. In 3D, exact parity invariance plays the same role. 6D and 10D thories being anomalous, we formulate them as anomalous chiral gauge theories as they are. Dimensional reduction within lattice formulation is then applied to the theories in 3,4,6 and 10D to obtain super Yang-Mills theories in arbitrary dimensions with either simple or extended supersymmetry.

20pages, plain TeX, no figures

References in corpus (1)

• Four-Dimensional N=1 Supersymmetric Yang-Mills Theory on the Lattice without Fine-Tuning

Cited by in corpus (39)

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• A Lattice Formulation of Super Yang-Mills Theories with Exact Supersymmetry
• Super Yang-Mills Theories on the Two-Dimensional Lattice with Exact Supersymmetry
• Aspects of Chiral Symmetry and the Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions
• Twisted Superspace on a Lattice
• Exact Extended Supersymmetry on a Lattice: Twisted N=2 Super Yang-Mills in Two Dimensions
• Deconstruction and other approaches to supersymmetric lattice field theories
• Super Yang-Mills on the lattice with domain wall fermions
• Supersymmetry on the lattice
• Two-Dimensional Compact N=(2,2) Lattice Super Yang-Mills Theory with Exact Supersymmetry
• Nicolai mapping vs. exact chiral symmetry on the lattice
• Lattice supersymmetry, superfields and renormalization
• Supersymmetry on the lattice and the Leibniz rule
• Two-dimensional N=(2,2) super Yang-Mills theory on the lattice via dimensional reduction
• Two-dimensional lattice for four-dimensional N=4 supersymmetric Yang-Mills
• Progress in four-dimensional lattice supersymmetry
• The fermion determinant in (4,4) 2d lattice super-Yang-Mills
• Relationship between various supersymmetric lattice models
• N=2 Wess-Zumino model on the d=2 Euclidean lattice
• Lattice four-dimensional N=4 SYM is practical
• Lattice Chiral Symmetry and the Wess-Zumino Model
• Supersymmetry, chiral symmetry and the generalized BRS transformation in lattice formulations of 4D $\mathcal{N}=1$ SYM
• Non-perturbative construction of 2D and 4D supersymmetric Yang-Mills theories with 8 supercharges
• Overlap formula for the chiral multiplet
• A local formulation of lattice Wess-Zumino model with exact $\U(1)_R$ symmetry
• Lattice Formulation for 2d N=(2,2), (4,4) Super Yang-Mills Theories without Admissibility Conditions
• 4D $\mathcal{N}=1$ SYM supercurrent in terms of the gradient flow
• Matrix formulation of superspace on 1D lattice with two supercharges
• 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
• 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
• Majorana and Majorana-Weyl fermions in lattice gauge theory
• Monte-Carlo simulations of overlap Majorana fermions
• Ferrara--Zumino supermultiplet and the energy-momentum tensor in the lattice formulation of 4D $\mathcal{N}=1$ SYM
• 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