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Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity

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arxiv 2002.07592 v2 pith:UU5HGK4N submitted 2020-02-18 hep-th

classification hep-th
keywords massivegravityminimaltheoryalgebrachern-simonshietarintamaxwell
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We show that minimal massive 3d gravity (MMG), as well as the topological massive gravity, are particular cases of a more general `minimal massive gravity' theory (with a single massive propagating mode) arising upon spontaneous breaking of a local symmetry in a Chern-Simons gravity based on a Hietarinta or Maxwell algebra. Similar to the MMG case, the requirements that the propagating massive mode is neither tachyon nor ghost and that the central charges of an asymptotic algebra associated with a boundary CFT are positive, impose restrictions on the range of the parameters of the theory.

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Cited by 3 Pith papers

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

  1. Non-Lorentzian Supergravity and Kinematical Superalgebras

    hep-th 2024-12 conditional novelty 7.0 of 10

    Supersymmetric extensions of extended kinematical algebras are classified via semigroup expansion, and non-degenerate Chern-Simons supergravity actions are constructed in three dimensions.

  2. Asymptotic structure of three-dimensional Maxwell Chern-Simons gravity coupled to spin-3 fields

    hep-th 2024-12 conditional novelty 5.0 of 10

    The asymptotic symmetry algebra of three-dimensional Maxwell Chern-Simons gravity with spin-3 fields is a new nonlinear algebra, hs3max-bms3, which is also obtained as the flat limit of three copies of the W3 algebra.

  3. 3D Carrollian gravity from 2D Euclidean symmetry

    hep-th 2024-12 conditional novelty 4.0 of 10

    Post-Carroll-Newtonian Chern-Simons gravities are systematically obtained by semigroup-expanding 2D Euclidean B_k algebras, recovering known Carrollian models as subcases.

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