Actions for Self-dual Higher Spin Gravities

Abstract

Higher Spin Gravities are scarce, but covariant actions for them are even scarcer. We construct covariant actions for contractions of Chiral Higher Spin Gravity that represent higher spin extensions of self-dual Yang-Mills and self-dual Gravity theories. The actions give examples of complete higher spin theories both in flat and (anti)-de Sitter spaces that feature gauge and gravitational interactions. The actions are based on a new description of higher spin fields, whose origin can be traced to early works on twistor theory. The new description simplifies the structure of interactions. In particular, we find a covariant form of the minimal gravitational interaction for higher spin fields both in flat and anti-de Sitter space, which resolves some of the puzzles in the literature.

28 pages+refs; small cosmetic changes

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Cited by in corpus (26)

• Bridging Carrollian and Celestial Holography
• Celestial chiral algebras, colour-kinematics duality and integrability
• Carrollian and Galilean conformal higher-spin algebras in any dimensions
• From Moyal deformations to chiral higher-spin theories and to celestial algebras
• Basic introduction to higher-spin theories
• Chiral approach to massive higher spins
• Flat Self-dual Gravity
• Toward a twistor action for chiral higher-spin gravity
• Higher-Spin Self-Dual Yang-Mills and Gravity from the twistor space
• Minimal models of field theories: Chiral Higher Spin Gravity
• Higher-spin Yang-Mills, amplitudes and self-duality
• Minimal model of Chiral Higher Spin Gravity
• Chiral Higher Spin Gravity and Convex Geometry
• Towards higher-spin holography in flat space
• Chiral higher-spin holography in flat space: the Flato-Fronsdal theorem and lower-point functions
• A Twistorial Description of the IKKT-Matrix Model
• Presymplectic BV-AKSZ formulation of Conformal Gravity
• Minimal models of field theories: SDYM and SDGR
• On (spinor)-helicity and bosonization in $Ad{S}_4/CF{T}_3$
• Chiral approach to partially-massless fields
• Constraining higher-spin S-matrices
• Superfield approach to interacting N=2 massive and massless supermultiplets in 3d flat space
• 4D Flat-space scattering amplitude /$CF{T}_3$ correlator correspondence revisited
• Massless chiral fields in six dimensions
• Higher-Spin Gauge Models in the BRST-antifield Formalism
• Invariant traces of the flat space chiral higher-spin algebra as scattering amplitudes