Interpolating geometries and the stretched dS2 horizon

Anninos, Dionysios; Harris, Eleanor

doi:10.1007/jhep11(2022)166

Cited by 14 publications

(14 citation statements)

References 63 publications

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“…A similar emergence of a soft-mode in the interior of an interpolating geometry was also discussed for the centaur geometries studied in[52][53][54].…”

supporting

confidence: 54%

“…consider the more general complex case, as such models make contact with the physics of open quantum systems [24,25,55] which, in turn, may bear relevance to the problem of de Sitter. The case k = 3 is particularly interesting, given the recent realisation [53] of a thermodynamically stable macroscopic portion of dS 2 suspended between two approximately AdS 2 geometries, one near the boundary and the other in the deep interior. Technically, this requires reaching lower temperatures in the numerical computations.…”

Section: Jhep11(2023)197 6 Outlook -Geometrisation Of An Rg Flowmentioning

confidence: 99%

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Renormalisation group flows of deformed SYK models

Anninos,

Galante,

Sheorey

2023

J. High Energ. Phys.

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We explore computationally tractable deformations of the SYK model. The deformed theories are described by the sum of two SYK Hamiltonians with differing numbers, q and $$ \overset{\sim }{q} $$ q ~ , of interacting fermions. In the large N limit, employing analytic and numerical tools, we compute finite temperature correlation functions and thermodynamic quantities. We identify a novel analytically solvable model in the large q limit. We find that, under certain circumstances, the thermal RG flow in the strongly coupled infrared phase exhibits two regions of linear-in-temperature entropy, which we interpret in terms of Schwarzian actions. Using conformal perturbation theory we compute the leading relevant correction away from the intermediate near-conformal fixed point. Holographic spacetimes in two spacetime dimensions that reproduce the thermodynamics of the microphysical theory are discussed. These are flow geometries that interpolate between two Euclidean near-AdS2 spacetimes with different radii. The Schwarzian soft mode corresponding to the AdS2 region in the deep interior resides entirely within the geometric regime.

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“…A similar emergence of a soft-mode in the interior of an interpolating geometry was also discussed for the centaur geometries studied in[52][53][54].…”

supporting

confidence: 54%

Section: Jhep11(2023)197 6 Outlook -Geometrisation Of An Rg Flowmentioning

confidence: 99%

Renormalisation group flows of deformed SYK models

Anninos,

Galante,

Sheorey

2023

J. High Energ. Phys.

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“…The dilaton potential can be deformed away from linear with the inclusion of conical defects [189][190][191][192]. It seems plausible that this construction might be able to accommodate at least a finite piece of dS spacetime [193].…”

Section: Pos(modave2022)003mentioning

confidence: 99%

Modave lectures on de Sitter space & holography

Galante¹

2023

Proceedings of Modave Summer School in Mathematical Physics — PoS(Modave2022)

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These lecture notes provide an overview of different aspects of de Sitter space and their plausible holographic interpretations. We start with a general description of the classical spacetime. We note the existence of a cosmological horizon and its associated thermodynamic quantities, such as the Gibbons-Hawking entropy. We discuss geodesics and shockwave solutions, that might play a role in a holographic description of de Sitter. Finally, we discuss different approaches to quantum theories of de Sitter space, with an emphasis on recent developments in static patch holography.

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“…Relatedly, in the stretched horizon picture one imagines a timelike surface that approaches the horizon of a black hole [14][15][16][17][18][19][20] or a cosmological horizon [21][22][23][24][25][26][27][28]. Notably, a worldtube perspective appears as an important ingredient in recent literature incorporating methods of AdS/CFT to analyse the de Sitter static patch in two [29][30][31][32] and three [9,33] dimensional models (see [34] for a recent review). Moreover, the presence of a worldline plays an important role in the definition of a sensible von Neumann entropy for quantum fields weakly coupled to gravity in the static patch [35].…”

Section: Jhep12(2023)024 1 Introductionmentioning

confidence: 99%

Gravitational observatories

Anninos,

Galante,

Maneerat

2023

J. High Energ. Phys.

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We consider four-dimensional general relativity with vanishing cosmological constant defined on a manifold with a boundary. In Lorentzian signature, the timelike boundary is of the form σ × ℝ, with σ a spatial two-manifold that we take to be either flat or S2. In Euclidean signature we take the boundary to be S2 × S1. We consider conformal boundary conditions, whereby the conformal class of the induced metric and trace K of the extrinsic curvature are fixed at the timelike boundary. The problem of linearised gravity is analysed using the Kodama-Ishibashi formalism. It is shown that for a round metric on S2 with constant K, there are modes that grow exponentially in time. We discuss a method to control the growing modes by varying K. The growing modes are absent for a conformally flat induced metric on the timelike boundary. We provide evidence that the Dirichlet problem for a spherical boundary does not suffer from non-uniqueness issues at the linearised level. We consider the extension of black hole thermodynamics to the case of conformal boundary conditions, and show that the form of the Bekenstein-Hawking entropy is retained.

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Interpolating geometries and the stretched dS2 horizon

Cited by 14 publications

References 63 publications

Renormalisation group flows of deformed SYK models

Renormalisation group flows of deformed SYK models

Modave lectures on de Sitter space & holography

Gravitational observatories

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