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Lie Algebra Expansions and Actions for Non-Relativistic Gravity

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arxiv 1904.08304 v2 pith:DO4JS5TK submitted 2019-04-17 hep-th

Eric Bergshoeff , Jose Manuel Izquierdo , Tomas Ortin , Luca Romano This is my paper · ORCID
classification hep-th
keywords gravityactionsmethodnon-relativisticalgebraexpansionsseveralalgebras
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We show that the general method of Lie algebra expansions can be applied to re-construct several algebras and related actions for non-relativistic gravity that have occurred in the recent literature. We explain the method and illustrate its applications by giving several explicit examples. The method can be generalized to include the construction of actions for ultra-relativistic gravity, i.e. Carroll gravity, and non-relativistic supergravity as well.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Interacting Galilean and Finite-Energy Carroll Fermions

    hep-th 2026-08 conditional novelty 7.0 of 10

    A c-dependent similarity transformation generates new Galilean and Carrollian fermion actions, including a Carrollian model with non-removable finite energy and a Galilean model with an accidental fermionic gauge symmetry.

  2. An Introduction to String Newton-Cartan Holography and Integrability

    hep-th 2026-03 accept novelty 3.0 of 10

    String Newton-Cartan holography, the non-relativistic limit of the AdS/CFT correspondence, is organized and reviewed around five consistency conditions, with its classical solutions, spectrum, and integrability structure.

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