Nonrelativistic Supersymmetry in Noncommutative Space
Gustavo S. Lozano, Olivier Piguet, Fidel A. Schaposnik, Lucas, Sourrouille
TL;DR
This paper explores a nonrelativistic matter model in 2+1D noncommutative space with gauge fields, demonstrating conditions for extended supersymmetry and deriving Bogomolnyi equations.
Contribution
It introduces a nonrelativistic matter model in noncommutative space with gauge interactions and identifies parameter choices for extended supersymmetry.
Findings
Extended supersymmetry can be achieved with specific coupling constants.
Bogomolnyi equations are derived for the model.
The model provides insights into noncommutative supersymmetric gauge theories.
Abstract
We analize a model of non relativistic matter in 2+1 dimensional noncommutative space. The matter fields interact with gauge fields whose dynamics is dictated by a Chern Simons term. We show that it is possible to choose the coupling constants in such a way that the model has and extended supersyemmetry and Bogomolnyi equations can be found.
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