Degenerate Spin Structures and the Levy-Leblond Equation

Details Degenerate Spin Structures and the Levy-Leblond Equation Degenerate Spin Structures and the Levy-Leblond Equation

2006-11-13

arxiv.org/abs/math-ph/0611028v1

Physics

Mathematical Physics

Paper presented at The 5th Workshop on Quantization, Dualities and Integrable Systems, Pamukkale University, 23-28 January 200

Scientific paper

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.

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