Static patch solipsism: conformal symmetry of the de Sitter worldline

By Dionysios Anninos, S. Hartnoll, D. Hofman. 2011

158 citations recorded by the source corpus.

We show that the propagators of gravitons and scalar fields seen by a static patch observer in de Sitter spacetime are controlled by hidden symmetries at all frequencies. The retarded Green's function is determined by an action generated by conformal Killing vectors of de Sitter spacetime times a line. This observation uses the fact that the static patch of dS is conformal to the hyperbolic patch of AdS3 × Sd − 1. The poles of the propagators, the quasinormal frequencies, are generated by associated actions. The quasinormal mode-generating algebras capture the conformal weights more usually read off from the fields at future and past infinity. For conformally coupled scalar fields, and for gravitons in four dimensions, this algebra has an enhanced supersymmetric structure and is generated by particular conformal Killing vectors of de Sitter spacetime. We show how the worldline de Sitter propagators can be reproduced from a ‘level matched’ left- and right-moving conformal quantum mechanics with an appropriate spectrum of primary operators. Our observations are consistent with the notion that the static patch of de Sitter spacetime is dually described by a (level matched) large N worldline conformal quantum mechanics.

Subfields: Atomic and Molecular Physics, and Optics, Mathematical Physics, Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/fa2ba35e9fc689dfc7f6f28c6f852a68a14951c9

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Citations in the corpus

Late-time structure of the Bunch-Davies de Sitter wavefunction (2014, methodology): “Upon defining the canonical momenta π~k = −iδ/δφ~k conjugate to φ~k, we can write the Schrödinger equation (4)A complementary approach would be to compute quantities directly in the static patch of de Sitter [55, 56].”
Momentum dissipation and effective theories of coherent and incoherent transport (2014, background): “These structures are well-studied in many places, for instance in dS/CFT [52], and also in the near-horizon geometries of certain AdS black branes [53], and we refer the interested reader to the former reference for more details.”
Warped Conformal Field Theory (2012, background): “[19, 20, 21, 22, 23, 24, 25]) spacetimes, of clear importance for physical applications.”
DE SITTER MUSINGS (2012, background): “In [79] the structure ofGR near the worldline where y, y ′ → 0 was studied.”