On 1+1 Dimensional Galilean Supersymmetry in Ultracold Quantum Gases

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

12 pages

References in corpus (2)

• Exact results for the 1D interacting mixed Bose-Fermi gas
• Ultracold Superstrings in atomic boson-fermion mixtures

Cited by in corpus (5)

• Simulating Wess-Zumino Supersymmetry Model in Optical Lattices
• Supersymmetry and Goldstino-like Mode in Bose-Fermi Mixtures
• Bosonized supersymmetry of anyons and supersymmetric exotic particle on the non-commutative plane
• Relaxation of a Goldstino-like mode due to supersymmetry breaking in Bose-Fermi mixtures
• Self-Dual Soliton Solution in a Generalized Jackiw-Pi Model