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Degenerate Spin Structures and the Levy-Leblond Equation

T. Dereli·S. Kocak·M. Limoncu
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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.

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T. Dereli, S. Kocak, M. Limoncu. 2006-11-13. Degenerate Spin Structures and the Levy-Leblond Equation. https://arxiv.org/abs/math-ph/0611028

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