Leibniz rule and exact supersymmetry on lattice: a case of supersymmetrical quantum mechanics

Abstract

We propose a new formulation of lattice theory. It is given by a matrix form and suitable for satisfying Leibniz rule on lattice. The theory may be interpreted as a multi-flavor system. By realizing the difference operator as a commutator, we may obtain exact supersymmetric theories on lattice explicitly. Some problems such as locality and single flavor reduction are also commented.

arXiv comment6 pages, Talk presented at Lattice 2005 (Theoretical Developments)

References in corpus (5)

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• 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
• Supersymmetry on a Euclidean Spacetime Lattice II: Theories with Eight Supercharges
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Cited by in corpus (5)

• Simulations of $\mathcal{N}=2$ super Yang-Mills theory in two dimensions
• Exact Lattice Supersymmetry at the Quantum Level for $N=2$ Wess-Zumino Models in 1- and 2-Dimensions
• Species Doublers as Super Multiplets in Lattice Supersymmetry: Chiral Conditions of Wess-Zumino Model for D=N=2
• Leibniz rule, locality and supersymmetry on lattice
• No-Go Theorem of Leibniz Rule and Supersymmetry on the Lattice