A family of super Schrödinger invariant Chern-Simons matter systems

Abstract

We investigate non-relativistic limits of the =3 Chern-Simons matter system in 1+2 dimensions. The relativistic theory can generate several inequivalent super Schödinger invariant theories, depending on the degrees of freedom we choose to retain in the non-relativistic limit. The maximally supersymmetric Schrödinger invariant theory is obtained by keeping all particle degrees of freedom. The other descendants, where particles and anti-particles coexist, are also Schrödinger invariant but preserve less supersymmetries. Thus, we have a family of super Schrödinger invariant field theories produced from the parent relativistic theory. © 2009 SISSA.