Exact Extended Supersymmetry on a Lattice: Twisted N=4 Super Yang-Mills in Three Dimensions

Abstract

We propose a lattice formulation of three dimensional super Yang-Mills model with a twisted N=4 supersymmetry. The extended supersymmetry algebra of all the eight supercharges is fully and exactly realized on the lattice with a modified "Leibniz rule". The formulation we employ here is a three dimensional extension of manifestly gauge covariant method which was developed in our previous proposal of Dirac-Kaehler twisted N=2 super Yang-Mills on two dimensional lattice. The twisted N=4 supersymmetry algebra is geometrically realized on a three dimensional lattice with link supercharges and the use of "shifted" (anti-)commutators. A possible solution to the recent critiques on the link formulation will be discussed.

17 pages, 11 figures; v2 a reference added; v3 appendix added

References in corpus (4)

• Non-lattice simulation for supersymmetric gauge theories in one dimension
• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
• A Critique of the Link Approach to Exact Lattice Supersymmetry
• Lattice Formulation of Two Dimensional Topological Field Theory

Cited by in corpus (14)

• 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
• Lattice study of two-dimensional N=(2,2) super Yang-Mills at large-N
• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
• Some physics of the two-dimensional $\mathcal{N}=(2,2)$ supersymmetric Yang-Mills theory: Lattice Monte Carlo study
• Twisted SUSY Invariant Formulation of Chern-Simons Gauge Theory on a Lattice
• Lattice formulation of 2D $\mathcal{N}=(2,2)$ SQCD based on the B model twist
• Lattice Actions for Yang-Mills Quantum Mechanics with Exact Supersymmetry
• Optimised Dirac Operators on the Lattice: Construction, Properties and Applications
• Deformed matrix models, supersymmetric lattice twists and N=1/4 supersymmetry
• Advances and applications of lattice supersymmetry
• A Lattice Formulation of Two Dimensional Topological Field Theory
• Symmetry and scaling in the Q-exact lattice (2,2) 2d Wess-Zumino model