Hypergravity in five dimensions

Fuentealba, Oscar; Matulich, Javier; Troncoso, Ricardo

doi:10.1103/physrevd.101.124002

Cited by 9 publications

(8 citation statements)

References 92 publications

(128 reference statements)

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“…It gives the action of one of the 3d conformal higher spin gravities [6][7][8]. The higher Chern-Simons forms can lead to exotic higher spin theories discussed recently in [109]. The Chern-Simons forms are unobstructed.…”

Section: Jhep12(2020)190mentioning

confidence: 99%

Characteristic cohomology and observables in higher spin gravity

Sharapov

Skvortsov

2020

J. High Energ. Phys.

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We give a complete classification of dynamical invariants in 3d and 4d Higher Spin Gravity models, with some comments on arbitrary d. These include holographic correlation functions, interaction vertices, on-shell actions, conserved currents, surface charges, and some others. Surprisingly, there are a good many conserved p-form currents with various p. The last fact, being in tension with ‘no nontrivial conserved currents in quantum gravity’ and similar statements, gives an indication of hidden integrability of the models. Our results rely on a systematic computation of Hochschild, cyclic, and Chevalley-Eilenberg cohomology for the corresponding higher spin algebras. A new invariant in Chern-Simons theory with the Weyl algebra as gauge algebra is also presented.

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Section: Jhep12(2020)190mentioning

confidence: 99%

Characteristic cohomology and observables in higher spin gravity

Sharapov

Skvortsov

2020

J. High Energ. Phys.

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“…The most studied example of the Hietarinta algebras is the one in which the spin-1/2 generators of a supersymmetry algebra are replaced by their spin-3/2 counterparts. This algebra underlies the so-called Hypergravity put forward in D = 2 + 1 by Aragone and Deser[12] (see e.g [13][14][15][16][17][18][19][20]. for further studies of this theory).…”

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confidence: 88%

Spontaneously broken 3d Hietarinta/Maxwell Chern–Simons theory and minimal massive gravity

Deger

Sorokin

2020

Eur. Phys. J. C

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We show that minimal massive 3d gravity (MMG) of (Bergshoeff et al. in Class Quantum Grav 31:145008, 2014), 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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“…In this context, one can then easily build interacting gauge theories using Chern-Simons actions as in AdS 3 , while specific interactions with matter were introduced following Vasiliev's approach [52]. Another notable exception is given by higherspin fermionic extensions of the Poincaré algebra, where one can consistently add a single generator of spin s + 1/2 [53,54]. 1 Following a common notation in the literature, we shall often denote as global the gauge symmetries preserving the vacuum.…”

Section: Introductionmentioning

confidence: 99%

Carrollian and Galilean conformal higher-spin algebras in any dimensions

Campoleoni

Pekar

2022

J. High Energ. Phys.

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We present higher-spin algebras containing a Poincaré subalgebra and with the same set of generators as the Lie algebras that are relevant to Vasiliev’s equations in any space-time dimension D ≥ 3. Given these properties, they can be considered either as candidate rigid symmetries for higher-spin gauge theories in Minkowski space or as Carrollian conformal higher-spin symmetries in one less dimension. We build these Lie algebras as quotients of the universal enveloping algebra of $$ \mathfrak{iso}\left(1,D-1\right) $$ iso 1 D − 1 and we show how to recover them as Inönü-Wigner contractions of the rigid symmetries of higher-spin gauge theories in Anti de Sitter space or, equivalently, of relativistic conformal higher-spin symmetries. We use the same techniques to also define higher-spin algebras with the same set of generators and containing a Galilean conformal subalgebra, to be interpreted as non-relativistic limits of the conformal symmetries of a free scalar field. We begin by showing that the known flat-space higher-spin algebras in three dimensions can be obtained as quotients of the universal enveloping algebra of $$ \mathfrak{iso}\left(1,2\right) $$ iso 1 2 and then we extend the analysis along the same lines to a generic number of space-time dimensions. We also discuss the peculiarities that emerge for D = 5.

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Hypergravity in five dimensions

Cited by 9 publications

References 92 publications

Characteristic cohomology and observables in higher spin gravity

Characteristic cohomology and observables in higher spin gravity

Spontaneously broken 3d Hietarinta/Maxwell Chern–Simons theory and minimal massive gravity

Carrollian and Galilean conformal higher-spin algebras in any dimensions

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