A family of super Schrödinger invariant Chern-Simons matter systems

Yu Nakayama, Shinsei Ryu, Makoto Sakaguchi, Kentaroh Yoshida

Research output: Contribution to journalArticlepeer-review

17 Scopus citations


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.

Original languageEnglish (US)
Article number006
JournalJournal of High Energy Physics
Issue number1
StatePublished - 2009
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics


  • Chern-Simons theories
  • Field theories in lower dimensions
  • Global symmetries
  • Supersymmetric gauge theory


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