Higher spin de Sitter Hilbert space

Anninos, Dionysios; Denef, Frederik; Monten, Ruben; Sun, Zimo

doi:10.1007/jhep10(2019)071

Title: Higher spin de Sitter Hilbert space

Journal Article · Mon Oct 07 00:00:00 EDT 2019 · Journal of High Energy Physics (Online)

DOI:https://doi.org/10.1007/jhep10(2019)071· OSTI ID:1802295

Anninos, Dionysios ^[1]; Denef, Frederik ^[2]; Monten, Ruben ^[3]; Sun, Zimo ^[4]

Univ. of Amsterdam (Netherlands)
Columbia Univ., New York, NY (United States); Katholieke Univ. Leuven, Heverlee (Belgium)
Alternative Energies and Atomic Energy Commission (CEA), Saclay (France)
Columbia Univ., New York, NY (United States)

We propose a complete microscopic definition of the Hilbert space of minimal higher spin de Sitter quantum gravity and its Hartle-Hawking vacuum state. The fundamental degrees of freedom are 2N bosonic fields living on the future conformal boundary, where N is proportional to the de Sitter horizon entropy. The vacuum state is normalizable. The model agrees in perturbation theory with expectations from a previously proposed dS-CFT description in terms of a fermionic Sp(N) model, but it goes beyond this, both in its conceptual scope and in its computational power. In particular it resolves the apparent pathologies affecting the Sp(N) model, and it provides an exact formula for late time vacuum correlation functions. We illustrate this by computing probabilities for arbitrarily large field excursions, and by giving fully explicit examples of vacuum 3- and 4-point functions. We discuss bulk reconstruction and show the perturbative bulk QFT canonical commutations relations can be reproduced from the fundamental operator algebra, but only up to a minimal error term ~e^-O(N), and only if the operators are coarse grained in such a way that the number of accessible “pixels” is less than O(N). Independent of this, we show that upon gauging the higher spin symmetry group, one is left with 2N physical degrees of freedom, and that all gauge invariant quantities can be computed by a 2N × 2N matrix model. This suggests a concrete realization of the idea of cosmological complementarity.

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Research Organization:: Columbia Univ., New York, NY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: SC0011941

OSTI ID:: 1802295

Journal Information:: Journal of High Energy Physics (Online), Vol. 2019, Issue 10; ISSN 1029-8479

Publisher:: Springer NatureCopyright Statement

Country of Publication:: United States

Language:: English

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