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Demystification of Non-relativistic Theories in Curved Background

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.

preprint2020arXivOpen access
Rabin Banerjee
gr-qchep-th
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Rabin Banerjee

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