Degenerate Spin Structures and the Levy-Leblond Equation


Dereli T., Kocak S., Limoncu M.

TURKISH JOURNAL OF PHYSICS, vol.30, no.5, pp.411-417, 2006 (ESCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 30 Issue: 5
  • Publication Date: 2006
  • Journal Name: TURKISH JOURNAL OF PHYSICS
  • Journal Indexes: Emerging Sources Citation Index (ESCI), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.411-417
  • Anadolu University Affiliated: Yes

Abstract

Newton-Cartan manifolds and the Galilei group are defined by the use of co-rank one degenerate metric tensor. Newton-Cartan connection is lifted to the degenerate spinor bundle over a Newton-Cartan 4-manifold by the aid of degenerate spin group. Levy-Leblond equation is constructed with the lifted connection.