Noncommutativity Approach to Supersymmetry on the Lattice: SUSY Quantum Mechanics and an Inconsistency
Falk Bruckmann, Mark de Kok
TL;DR
This paper critiques the noncommutativity approach to lattice supersymmetry, demonstrating an inconsistency through supersymmetric quantum mechanics and the Abelian super BF model.
Contribution
It identifies and explicitly demonstrates an inconsistency in the noncommutativity approach to lattice supersymmetry.
Findings
Inconsistency shown in supersymmetric quantum mechanics
Explicit demonstration of the inconsistency in the Abelian super BF model
Challenges the validity of the noncommutativity approach for lattice supersymmetry
Abstract
It is argued that the noncommutativity approach to fully supersymmetric field theories on the lattice suffers from an inconsistency. Supersymmetric quantum mechanics is worked out in this formalism and the inconsistency is shown both in general and explicitly for that system, as well as for the Abelian super BF model.
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