並列タイトル等Higher-spin holography in de Sitter space: horizon modes, black holes, and the boundary partition function
授与機関名Okinawa Institute of Science and Technology Graduate University
一般注記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.
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受理日(W3CDTF)2021-03-07T02:10:05+09:00
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