Finite features of quantum de Sitter space

Anninos, Dionysios; Galante, Damián A.; Mühlmann, Beatrix

doi:10.1088/1361-6382/acaba5

Cited by 22 publications

(19 citation statements)

References 111 publications

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“…It would be interesting to push this further to study false vacuum decay á la Coleman-De Luccia. Further, a setting with dynamical gravity would allow one to test the quantum nature of dS spacetime, e.g., the imprint of the (possibly) finite dimensional Hilbert space of dS on nucleation rates [96][97][98][99][100][101][102][103][104].…”

Section: Discussionmentioning

confidence: 99%

Membrane nucleation rates from holography

Arcos

Fischler

Pedraza

et al. 2022

J. High Energ. Phys.

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Membrane nucleation, a higher dimensional analog of the Schwinger effect, is a useful toy model for vacuum decay. While a non-perturbative effect, the computation of nucleation rates has only been accomplished at weak coupling in the field theory. Here we compute the nucleation rates of spherical membranes using AdS/CFT duality, thus naturally including the effects of strong coupling. More precisely, we consider the nucleation of spherical membranes coupled to an antisymmetric tensor field, a process which renders the vacuum unstable above a critical value of the field strength. We analyze membrane creation in flat and de Sitter space using various foliations of AdS. This is accomplished via instanton methods, where the rate of nucleation is dominated by the semi-classical on-shell Euclidean action. Our findings generalize the holographic Schwinger effect and provide a step toward holographic false vacuum decay mediated by Coleman-De Luccia instantons.

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Section: Discussionmentioning

confidence: 99%

Membrane nucleation rates from holography

Arcos

Fischler

Pedraza

et al. 2022

J. High Energ. Phys.

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“…where [ℎ] is the conformal class of boundary metrics and 𝐾 is the trace of the extrinsic curvature at the boundary. There is a proof of the IBVP with conformal boundary conditions being well-posed in Euclidean signature [163] and evidence for it in Lorentzian signature [164,168]. It seems essential to understand the gravitational path integral in terms of conformal boundary data to make sense not only of static patch holography but also, of some other finite versions of holography, such as finite cutoff AdS [169].…”

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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“…Further to the existence issues raised above, at least for certain choices of Dirichlet data on Γ there is also a question of (non)-uniqueness that must be addressed. At least for flat boundaries there is an infinite class of physical diffeomorphisms that render the Dirichlet problem non-unique in Euclidean [39,40] and Lorentzian [44,45] signature.…”

Section: Jhep12(2023)024mentioning

confidence: 99%

“…To first approximation, one might imagine a standard Dirichlet-type boundary value problem whereby one specifies the induced metric g mn on Γ, along with Cauchy data on a spacelike slice Σ that intersects Γ. This problem has been explored for both Euclidean [39,40] and Lorentzian [41][42][43][44][45] signature. Somewhat remarkably, and in contrast to the Klein-Gordon and Yang-Mills equations, the second order nature of the Einstein constraint equation…”

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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Finite features of quantum de Sitter space

Cited by 22 publications

References 111 publications

Membrane nucleation rates from holography

Membrane nucleation rates from holography

Modave lectures on de Sitter space & holography

Gravitational observatories

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