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Demystification of Non-relativistic Theories in Curved Background

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arxiv 2008.05727 v1 pith:JWOOIVXI submitted 2020-08-13 gr-qc hep-th

classification gr-qchep-th
keywords backgroundcurvedtheorygalileannon-relativisticspacetimealgorithm
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We discuss a new formalism for constructing a non-relativistic (NR) theory in curved background. Named as galilean gauge theory, it is based on gauging the global galilean symmetry. It provides a systematic algorithm for obtaining the covariant curved space time generalisation of any NR theory defined in flat space time. The resulting background is just the Newton- Cartan manifold. The example of NR free particle is explicitly demonstrated.

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Cited by 1 Pith paper

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  1. Can Non-Relativistic Strings Propagate Without Geometric Baggage?

    hep-th 2025-06 reject novelty 4.0 of 10

    The paper claims that standard Newton-Cartan geometry is sufficient for classical non-relativistic string propagation, making the auxiliary gauge fields of gauging-the-algebra constructions dynamically redundant.

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