Hypergravity in five dimensions

Abstract

We show that a spin-$5/2$ field can be consistently coupled to gravitation without cosmological constant in five-dimensional spacetimes. The fermionic gauge "hypersymmetry" requires the presence of a finite number of additional fields, including a couple of $U(1)$ fields, a spinorial two-form, the dual of the graviton (of mixed $(2,1)$ Young symmetry) and a spin-$3$ field. The gravitational sector of the action is described by the purely quadratic Gauss-Bonnet term, so that the field equations for the metric are of second order. The local gauge symmetries of the full action principle close without the need of auxiliary fields. The field content corresponds to the components of a connection for an extension of the "hyper-Poincaré" algebra, which apart from the Poincaré and spin-$3/2$ generators, includes a generator of spin $2$ and a $U(1)$ central extension. It is also shown that this algebra admits an invariant trilinear form, which allows to formulate hypergravity as a gauge theory described by a Chern-Simons action in five dimensions.

17 pages, no figures, minor changes, references added

References in corpus (21)

• Asymptotic symmetries of three-dimensional gravity coupled to higher-spin fields
• Nonlinear W(infinity) Algebra as Asymptotic Symmetry of Three-Dimensional Higher Spin Anti-de Sitter Gravity
• Light-Front Higher-Spin Theories in Flat Space
• Generalized Black Holes in Three-dimensional Spacetime
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• Light-Front Bootstrap for Chern-Simons Matter Theories
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• Higher Spin Black Holes with Soft Hair
• FV-type action for AdS(5) mixed-symmetry fields
• Three-dimensional supergravity reloaded
• Reducible higher-spin multiplets in flat and AdS spaces and their geometric frame-like formulation
• New Conformal Higher Spin Gravities in $3d$
• Flat space (higher spin) gravity with chemical potentials
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Higher-spin Chern-Simons theories in odd dimensions
• Dynamics and BPS states of AdS5 supergravity with a Gauss-Bonnet term
• Hypergravity in AdS_3
• A note on the double dual graviton
• The Uniqueness of Hypergravity
• 4D spin-2 fields from 5D Chern-Simons theory
• Higher-spin dynamics and Chern-Simons theories

Cited by in corpus (6)

• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• Spontaneously Broken 3d Hietarinta/Maxwell Chern-Simons Theory and Minimal Massive Gravity
• Characteristic Cohomology and Observables in Higher Spin Gravity
• Hypersymmetric extensions of Maxwell Chern-Simons gravity in (2+1) dimensions
• Resonant superalgebras and $\mathcal{N}=1$ supergravity theories in three spacetime dimensions
• Four dimensional topological supergravities from transgression field theory