Three-dimensional de Sitter horizon thermodynamics

Anninos, Dionysios; Harris, Eleanor

doi:10.48550/arxiv.2106.13832

Cited by 2 publications

(3 citation statements)

References 65 publications

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“…Placing a holographic dual to de Sitter space on the horizon itself has a long precedent [13,38,[54][55][56][57]. 8 There are serious questions about such a construction which we will not address, foremost being the dynamical nature of the horizon and the properties of the theory on the horizon: gravity does not obviously decouple there, so it seems the holographic dual would itself be gravitational, as in [13].…”

Section: Anchoring On the Horizonmentioning

confidence: 99%

The central dogma and cosmological horizons

Shaghoulian

2021

Preprint

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The central dogma of black hole physics -which says that from the outside a black hole can be described in terms of a quantum system with exp(Area/4G N ) states evolving unitarily -has recently been supported by computations indicating that the interior of the black hole is encoded in the Hawking radiation of the exterior. In this paper, we probe whether such a dogma for cosmological horizons has any support from similar computations. The fact that the de Sitter bifurcation surface is a minimax surface (instead of a maximin surface) causes problems with this interpretation when trying to import calculations analogous to the AdS case. This suggests anchoring extremal surfaces to the horizon itself, where we formulate a two-sided extremization prescription and find answers consistent with general expectations for a quantum theory of de Sitter space: vanishing total entropy, an entropy of A/4G N when restricting to a single static patch, an entropy of a subregion of the horizon which grows as the region size grows until an island-like transition at half the horizon size when the entanglement wedge becomes the entire static patch interior, and a de Sitter version of the Hartman-Maldacena transition.

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Section: Anchoring On the Horizonmentioning

confidence: 99%

The central dogma and cosmological horizons

Shaghoulian

2021

Preprint

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“…Therefore we express the partition function in terms of the integral over characters. One can read off the bulk and the edge characters from the partition function 3 (2.23)…”

Section: Free Conformal Higher Spins On Adsmentioning

confidence: 99%

“…The one-loop partition functions of free conformal fields on spheres, hyperbolic cylinders, and anti-de Sitter spaces have helped us to understand the horizon entropy of the theories of gravity coupled to matter. This was initiated in [1] and more recent developments can be found [2,3,4,5,6,7]. It is well known that the spheres, hyperbolic cylinders, and anti-de Sitter spaces are related by Weyl transformation.…”

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confidence: 99%

Partition functions and entanglement entropy: Weyl graviton and conformal higher spin fields

Mukherjee

2021

Preprint

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We establish the relation of partition functions of conformal higher spin fields on Weyl equivalent spaces in d = 4 dimension. We express the partition function of Weyl graviton and conformal higher spin fields as an integral over characters on S 1 × AdS 3 , S 4 , and AdS 4 . We observe that the partition function of conformal higher spins on hyperbolic cylinders differs from the partition function on S 4 by the 'edge' contribution. The logarithmic coefficient obtained from the character integral of the partition function of conformal higher spins on AdS 4 is the half of that obtained from the partition function on S 4 . We evaluate the entanglement entropy and the conformal dimension of the twist operator from the partition function on the hyperbolic cylinder. The conformal dimension of the co-dimension two twist operator enables us to find a linear relation between Hofman-Maldacena variables which we use to show the non-unitarity of the theory. We observe that the spectrum of the quasinormal modes of conformal higher spins obtained from the bulk character contains additional distinct states compared to the spectrum of unitary massless higher spin fields.

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Three-dimensional de Sitter horizon thermodynamics

Cited by 2 publications

References 65 publications

The central dogma and cosmological horizons

The central dogma and cosmological horizons

Partition functions and entanglement entropy: Weyl graviton and conformal higher spin fields

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