Degenerate Spin Structures and the Levy-Leblond Equation
Mathematical Physics
2007-05-23 v1 math.MP
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.
Cite
@article{arxiv.math-ph/0611028,
title = {Degenerate Spin Structures and the Levy-Leblond Equation},
author = {T. Dereli and S. Kocak and M. Limoncu},
journal= {arXiv preprint arXiv:math-ph/0611028},
year = {2007}
}
Comments
Paper presented at The 5th Workshop on Quantization, Dualities and Integrable Systems, Pamukkale University, 23-28 January 2006, Denizli, Turkey