Higher-spin holographic realizations of quantum gravity on de Sitter spacetimes is a promising model for addressing quantum gravity in an universe with positive cosmological constant. In this body of work we focus on issues related to (i) cosmological horizon modes, (ii) higher-spin black hole worldlines, and (iii) the boundary partition function. (i) We introduce a spinor-helicity formalism to encode the data of massless fields of arbitrary spin on a cosmological horizon. The evolution of free fields between past and future horizons reduces to a simple Fourier transform in terms of these variables. We show how this arises, by decomposing the problem into a pair of horizon-to-twistor problems. (ii) We decompose the boundary partition function Z in terms of spherical modes in the spinor-helicity basis. Even though the correlators agree, we observe a persistent discrepancy between the higher-spin-algebraic calculation of Z and the result of a direct CFT calculation. This suggests a failure of locality in higher-spin theory, even on the boundary. (iii) We show that the linearized version of the Didenko–Vasiliev black hole solves the Fronsdal field equations with a particle-like source. These fields are precisely the linearized bulk higher-spin fields corresponding to a bilocal source on the boundary. We show that the boundary correlator of two bilocal operators agrees with the bulk action describing the corresponding particles interacting in the bulk.
Exam Date
2020-09-14
Degree Conferral Date
2020-11-30
Degree
Doctor of Philosophy
Degree Referral Number
38005甲第64号
Degree Conferrral Institution
Okinawa Institute of Science and Technology Graduate University
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Higher-spin holography in de Sitter space: horizon modes, black holes, and the boundary partition function
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