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 (8)

• Non-lattice simulation for supersymmetric gauge theories in one dimension
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• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
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Cited by in corpus (29)

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• Classification of Supersymmetric Lattice Gauge Theories by Orbifolding
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• Simulation of 4d N=1 supersymmetric Yang-Mills theory with Symanzik improved gauge action and stout smearing
• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency
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• Lattice Formulation of Two-Dimensional N=(2,2) SQCD with Exact Supersymmetry
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