Higher-spin self-dual gravity arises by embedding 4D spacetime into an infinite-dimensional manifold of holomorphic planes in a boundedly deformed twistor space, with higher-spin symmetries from different embeddings and integrability via a Lax pair.
Geometry and Observables in Vasiliev’s Higher Spin Gravity
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abstract
We provide global formulations of Vasiliev's four-dimensional minimal bosonic higher spin gravities by identifying structure groups, soldering one-forms and classical observables. In the unbroken phase, we examine how decorated Wilson loops collapse to zero-form charges and exploit them to enlarge the Vasiliev system with new interactions. We propose a metric phase whose characteristic observables are minimal areas of higher spin metrics and on shell closed abelian forms of positive even degrees. We show that the four-form is an on shell deformation of the generalized Hamiltonian action recently proposed by Boulanger and one of the authors. In the metric phase, we also introduce tensorial coset coordinates and demonstrate how single derivatives with respect to coordinates of higher ranks factorize into multiple derivatives with respect to coordinates of lower ranks.
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N-body modeling indicates Gaia BH3 formed as an exchange binary via dynamical interactions in the ED-2 progenitor cluster.
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.
citing papers explorer
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Higher-spin self-dual gravity from holomorphic planes in twistor space
Higher-spin self-dual gravity arises by embedding 4D spacetime into an infinite-dimensional manifold of holomorphic planes in a boundedly deformed twistor space, with higher-spin symmetries from different embeddings and integrability via a Lax pair.
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$N$-body modelling of the ED-2 stream progenitor shows Gaia BH3's formation involved dynamical interactions
N-body modeling indicates Gaia BH3 formed as an exchange binary via dynamical interactions in the ED-2 progenitor cluster.
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Amplitudes in self-dual (higher-spin) theories
All self-dual theories with or without higher-spin fields possess nontrivial tree-level amplitudes in Kleinian or complex Minkowski kinematics, completing the celestial analogue of the higher-spin duality.