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.

arXiv comment17 pages, no figures, minor changes, references added

References in corpus (60)

• A Supersymmetry Primer
• Nonlinear Equations for Symmetric Massless Higher Spin Fields in $(A)d{S}_d$
• 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
• Higher Spin Gauge Theories: Star-Product and AdS Space
• Classical central extension for asymptotic symmetries at null infinity in three spacetime dimensions
• Partial Masslessness of Higher Spins in (A)dS
• Gauge Invariances and Phases of Massive Higher Spins in (A)dS
• A New Cosmological Scenario in String Theory
• Black Hole Scan
• How higher-spin gravity surpasses the spin two barrier: no-go theorems versus yes-go examples
• Dimensionally Continued Black Holes
• Light-Front Higher-Spin Theories in Flat Space
• Quartic AdS Interactions in Higher-Spin Gravity from Conformal Field Theory
• Time-dependent Orbifolds and String Cosmology
• Higher spin theory in 3-dimensional flat space
• BMS Particles in Three Dimensions
• Geometric Formulation for Partially Massless Fields
• Asymptotically flat spacetimes in three-dimensional higher spin gravity
• Generalized Black Holes in Three-dimensional Spacetime
• Higher-spin Interactions from CFT: The Complete Cubic Couplings
• Higher dimensional Chern-Simons supergravity
• Quantum Chiral Higher Spin Gravity
• Higher-Spin Gauge Theories and Bulk Locality
• The dynamical structure of higher dimensional Chern-Simons theory
• Asymptotic symmetries and dynamics of three-dimensional flat supergravity
• N=1 Supersymmetric Theory of Higher Spin Gauge Fields in AdS(5) at the Cubic Level
• Elements of Vasiliev theory
• Light-Front Bootstrap for Chern-Simons Matter Theories
• Chemical potentials in three-dimensional higher spin anti-de Sitter gravity
• `Mass without mass' from thin shells in Gauss-Bonnet gravity
• BMS Modules in Three Dimensions
• 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
• Canonical sectors of five-dimensional Chern-Simons theories
• New Conformal Higher Spin Gravities in $3d$
• Poincare invariant gravity with local supersymmetry as a gauge theory for the M-algebra
• From Higher Spins to Strings: A Primer
• Flat space (higher spin) gravity with chemical potentials
• Higher spin extension of cosmological spacetimes in 3D: asymptotically flat behaviour with chemical potentials and thermodynamics
• Extension of the Poincaré group with half-integer spin generators: hypergravity and beyond
• Asymptotically flat structure of hypergravity in three spacetime dimensions
• Higher-spin Chern-Simons theories in odd dimensions
• Dynamics and BPS states of AdS5 supergravity with a Gauss-Bonnet term
• Rotating Higher Spin Partition Functions and Extended BMS Symmetries
• Hypersymmetry bounds and three-dimensional higher-spin black holes
• Conical Defects, Black Holes and Higher Spin (Super-)Symmetry
• Can Chern-Simons or Rarita-Schwinger be a Volkov-Akulov Goldstone?
• Hypergravity in AdS_3
• Dynamical content of Chern-Simons Supergravity
• On Higher Spin Symmetries in AdS_{5}
• Transition Amplitude in 2+1 dimensional Chern-Simons Gravity on a Torus
• A note on the double dual graviton
• The Action of the (free) $(4,0)$-theory
• Frame- and Metric-like Higher-Spin Fermions
• 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