On 1+1 Dimensional Galilean Supersymmetry in Ultracold Quantum Gases
G.S.Lozano, O.Piguet, F.A.Schaposnik, L. Sourrouille
TL;DR
This paper explores a 1+1 dimensional Galilean supersymmetric model relevant to ultracold quantum gases, linking it to nonrelativistic Chern-Simons systems and identifying its supersymmetry generators and self-dual equations.
Contribution
It introduces and analyzes a novel Galilean supersymmetric model in 1+1 dimensions, connecting it to Chern-Simons matter systems and elucidating its supersymmetry structure.
Findings
Relation between 1+1D Galilean supersymmetry and 2+1D Chern-Simons systems
Identification of supersymmetry generators in the model
Existence of self-dual equations associated with the model
Abstract
We discuss a 1+1 dimensional Galilean invariant model recently introduced in connection with ultracold quantum gases. After showing its relation to a nonrelativistic 2+1 Chern-Simons matter system, we identify the generators of the supersymmetry and its relation with the existence of self-dual equations
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