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Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions

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arxiv 2105.12243 v1 pith:S6BITTMB submitted 2021-05-25 hep-th gr-qc

Ricardo Caroca , Patrick Concha , Javier Matulich , Evelyn Rodríguez , David Tempo This is my paper · ORCID
classification hep-thgr-qc
keywords chern-simonsfieldsspin-fracgravitymasslessmaxwellextensions
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abstract

We present a consistent way of coupling three-dimensional Maxwell Chern-Simons gravity theory with massless spin-$\frac{5}{2}$ gauge fields. We first introduce the simplest hyper-Maxwell Chern-Simons gravity containing two massless spin-2 fields coupled with a massless Majorana fermion of spin-$\frac{5}{2}$ and whose novel underlying superalgebra is explicitly constructed. Then, we present three alternative hypersymmetric extensions of the Maxwell algebra which are shown to emerge from the In\"on\"u-Wigner contraction procedure of precise combinations of the $\mathfrak{osp}\left(1|4\right)$ and the $\mathfrak{sp}\left(4\right)$ algebras. This allow us to construct distinct types of hyper-Maxwell Chern-Simons theories that extend to include generically interacting non-propagating spin-$4$ fields accompanied by one or two spin-$\frac{5}{2}$ gauge fields.

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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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