In the self-dual higher-spin theory, a scalar vacuum that breaks AdS symmetry to 3D Poincaré makes all higher-spin gauge fields decouple except spin one, and makes higher-spin currents non-conserved except the spin-one current.
A proposal for the role of higher spin fields in Conformal Cyclic Cosmology
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This paper proposes a research program into how the special properties of the cubic chiral higher spin gravity theory may play a role in conformal cyclic cosmology and black hole physics, in particular for the black hole information paradox. The paper is qualitative, raising a number of questions and connections, that may be interesting to pursue in more detail. The proposal is based on a new -- at least not so commonly expressed -- view on the presumptive role of higher spin gauge fields in fundamental physics. In short, it is proposed that the non-unitary time evolution of the cubic chiral higher spin gravity theory is precisely what is needed for bridging the very large entropy gap between aeons in Roger Penrose's cosmological theory CCC.
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On symmetry breaking in the self-dual higher-spin theory
In the self-dual higher-spin theory, a scalar vacuum that breaks AdS symmetry to 3D Poincaré makes all higher-spin gauge fields decouple except spin one, and makes higher-spin currents non-conserved except the spin-one current.