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New approach to nonrelativistic diffeomorphism invariance and its applications

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arxiv 1509.05622 v2 pith:3RFICYGP submitted 2015-09-18 gr-qc hep-th

Rabin Banerjee , Pradip Mukherjee This is my paper
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keywords diffeomorphismnonrelativisticapplicationsinvariancemodelabstractionaccountalgorithm
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A comprehensive account of a new structured algorithm for obtaining nonrelativistic diffeomorphism invariances in both space and spacetime by gauging the Galilean symmetry in a generic nonrelativistic field theoretical model is provided. Various applications like the obtention of nonrelativistic diffeomorphism invariance, the introduction of Chern-Simons term and its role in fractional quantum Hall effect, induction of diffeomorphism in irrotational fluid model, abstraction of Newton-Cartan geometry and the emergence of Horava-Lifshitz gravity are discussed in details.

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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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