Related references
Note: Only part of the references are listed.
Article
Physics, Particles & Fields
Lars Aalsma et al.
Summary: In this paper, we investigate information recovery in de Sitter space by constructing a two-dimensional gravity model with a domain wall. By introducing Rindler wedges, we probe de Sitter space from weakly-gravitating asymptotic regions, providing an outside perspective of the cosmological horizon. Unlike previous works, we control backreaction effects by considering a quantum state that breaks the thermal equilibrium of the Bunch-Davies state for a finite time, allowing controlled decoding of information from Gibbons-Hawking radiation.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Alexandre Belin et al.
Summary: We extend previous research to introduce a new class of gravitational observables in asymptotically Anti-de Sitter space, which exist in general codimension-zero regions of the bulk spacetime. These observables can be simplified to well-studied holographic complexity proposals and exhibit key universal features. We argue that any member of this new class of observables is a viable candidate as a gravitational dual of complexity. Using the Peierls construction, we demonstrate that variations of these observables can be encoded in the gravitational symplectic form on the semi-classical phase-space and mapped to the CFT.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Venkatesa Chandrasekaran et al.
Summary: We present an algebra of observables for a static patch in de Sitter space, where the operators are gravitationally dressed according to the observer's worldline. This algebra belongs to the Type II1 von Neumann algebra. The state of this algebra has a natural concept of entropy, with a maximum entropy state corresponding to empty de Sitter space. The entropy of any semiclassical state of the Type II1 algebras agrees, up to an arbitrary additive constant, with the expected generalized entropy S-gen = (A/4G(N)) + S-out.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Eva Silverstein
Summary: In this study, we have discovered a barrier to the holographic realization of dS observer patch in string/M theory, and identified a new role for averaging in quantum gravity. The recent solvable T(T) over bar(+Lambda(2)) deformation provides a detailed microstate count of the dS(3) cosmic horizon, yielding the refined Gibbons-Hawking entropy and correct bulk geometry. By bringing the boundary just outside the black hole horizon, the deformation allows for a continuous transition to a bounded patch of dS. We have connected this approach with the AdS/CFT relationship to dS and showed that the differences in extra dimensions can be washed out by internal averaging in the presence of a timelike boundary.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Particles & Fields
Shira Chapman et al.
Summary: The two-point function of a free massive scalar field on a fixed background can be evaluated using a semiclassical geodesic approximation. However, in de Sitter space, there is a puzzle where certain spacelike separated points are not connected by real geodesics, despite the non-vanishing two-point function in the Bunch-Davies state. This puzzle is resolved by considering complex geodesics after analytically continuing to the sphere. One-loop corrections to the correlator are computed, and the implications of the results for de Sitter holography are discussed.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Edward K. Morvan et al.
Summary: We compute the on-shell Euclidean action of Schwarzschild-de Sitter black holes and consider their contributions in the gravitational path integral using constrained instantons. The on-shell action of Euclidean de Sitter black hole geometries is finite and independent of the Euclidean time periodicity, equal to minus the sum of the black hole and cosmological horizon entropy. We apply this result to compute the probability for a nonrotating, neutral, arbitrary mass black hole to spontaneously nucleate in empty de Sitter space, and speculate on further applications of our results, particularly as potential non-perturbative corrections to correlators in the de Sitter vacuum.
Article
Astronomy & Astrophysics
Dionysios Anninos et al.
Summary: We study the degrees of freedom for a quantum de Sitter spacetime from both a Lorentzian and a Euclidean perspective. From a Lorentzian perspective, we calculate the dynamical properties of the static patch de Sitter horizon and compare them to those of a black hole. From a Euclidean perspective, we consider the gravitational path integral for fields over compact manifolds. We propose that the localization of the Euclidean gravitational path integral reflects a finite number of degrees of freedom in a de Sitter Universe.
CLASSICAL AND QUANTUM GRAVITY
(2023)
Article
Physics, Particles & Fields
Takanori Anegawa et al.
Summary: In dS(2), the volume complexity remains O(1) until a critical time, after which it suddenly diverges. However, in the dS(2) solution in JT gravity, there is a linear dilaton that smoothly grows towards future infinity. By considering the expansion of the orthogonal sphere in higher-dimensional dS(d) and properly accounting for the dilaton, it is expected that the complexity in dS(2) JT gravity exhibits the same behavior, as the complexity becomes very large before the critical time in higher dimensions. This expectation is confirmed by the complexity = action (CA) conjecture, where an appropriate action for dS(2) in JT gravity is obtained by dimensional reduction from dS(3). Additionally, the complexity = refined volume is discussed, with the introduction of an appropriate Weyl field-redefinition to avoid discontinuous jumps in time evolution.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Astronomy & Astrophysics
Roberto Auzzi et al.
Summary: In the framework of de Sitter holography, the growth of holographic complexity shows hyperfast behavior, unlike the case of AdS. Except for static bubble configurations, the complexity obtained from the volume of smooth extremal surfaces anchored on the AdS boundary behaves similarly to the AdS case, while the static bubble configuration exhibits zero complexity rate and resembles a first order phase transition.
Article
Physics, Particles & Fields
Shira Chapman et al.
Summary: Quantum computational complexity is important in both quantum computation and black hole information processing. This article presents the geometric approach to complexity, discusses the relation between complexity, gravitational quantities, and chaos, and highlights open problems and future directions.
EUROPEAN PHYSICAL JOURNAL C
(2022)
Article
Physics, Multidisciplinary
Alexandre Belin et al.
Summary: This paper presents a new infinite class of gravitational observables in asymptotically anti-de Sitter space living on codimension-one slices of the geometry, the most famous of which is the volume of the maximal slice. The authors show that these observables display universal features for the thermofield-double state, growing linearly in time at late times and reproducing the switchback effect in shock wave geometries. They argue that any member of this class of observables is an equally viable candidate as the extremal volume for a gravitational dual of complexity.
PHYSICAL REVIEW LETTERS
(2022)
Article
Physics, Particles & Fields
Netta Engelhardt et al.
Summary: We prove a positive volume theorem for asymptotically AdS spacetimes and a positive holographic complexity theorem under the Complexity=Volume proposal. We also provide a holographic proof of Lloyd's bound for a class of bulk spacetimes and establish a partial rigidity result for wormholes.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
Summary: Motivated by the prospect of constraining microscopic models, this study calculates the exact one-loop corrected de Sitter entropy for every effective field theory of quantum gravity. It establishes a universal relationship between the sphere partition function and the quotient of a quasi-canonical bulk and a Euclidean edge partition function. The study also reveals the exponential landscape of de Sitter vacua and the connection between dS, AdS(+/-), and conformal results in generic higher-spin gravity. Holography is exhibited in quasi-exact bulk-edge cancellation.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Edgar Shaghoulian
Summary: This paper explores whether the central dogma of cosmological horizons has any support and proposes consistent answers with the quantum theory of de Sitter space, including a vanishing total entropy, an entropy of A/4G(N) on a single static patch, increasing entropy of a subregion as the region size grows, an island-like transition at half the horizon size, and a de Sitter version of the Hartman-Maldacena transition.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Shira Chapman et al.
Summary: We computed the length of spacelike geodesics in certain double-sided flow geometries in two dimensions. The results showed that in geometries with black hole horizons, the geodesic length exhibits linear growth at late times, while in flow geometries with de Sitter horizons, geodesics with finite length only exist for short times and do not exhibit linear growth. These results have implications for understanding the holographic proposal for quantum complexity and the holographic nature of the de Sitter horizon.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Eivind Jorstad et al.
Summary: We study holographic complexity in de Sitter spacetime and find that it exhibits universal behavior in different approaches. Specifically, holographic complexity shows 'hyperfast' growth and appears to diverge with a universal power law at a finite critical time. We introduce a cutoff surface to regulate this divergence, and the subsequent growth of holographic complexity is linear in time.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Evan Coleman et al.
Summary: We obtain microstates and a subleading logarithmic correction accounting for the Gibbons-Hawking entropy in dS(3) by deforming a seed CFT with sparse light spectrum using the solvable T (T) over bar + Lambda(2). These microstates arise from the dressed CFT states near dimension Delta = c/6, which are associated with the Hawking-Page transition and dominate the real spectrum of the deformed theory. We demonstrate an analog of the Hawking-Page transition in de Sitter. Generalizations of the T (T) over bar + Lambda(2) deformation are necessary to handle model-dependent local bulk physics (subleading at large central charge) and higher dimensions.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Edgar Shaghoulian et al.
Summary: This paper expands on two recent proposals to generalize the Ryu-Takayanagi and Hubeny-Rangamani-Takayanagi formulas to de Sitter space, referred to as the monolayer and bilayer proposals. These proposals replace the boundary of AdS with the boundaries of static-patches or event horizons. The paper applies the rules of each proposal to various cases and demonstrates that they produce expected results. While the monolayer and bilayer proposals often yield the same results, they disagree in one specific situation. A better understanding of the thermodynamic limit of holographic systems is needed to definitively decide between the two.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Roberto Auzzi et al.
Summary: In this paper, we study the time-dependence of holographic complexity in a class of models with hairy black holes. We find that the volume complexity can only probe a portion of the black hole interior that remains far away from the singularity, while the action complexity can probe a portion closer to the singularity. Furthermore, we discover that the Kasner exponent does not directly affect the details of the complexity divergence and the late-time behavior.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Juan Maldacena et al.
Summary: This study focuses on aspects of the de Sitter version of Jackiw-Teitelboim gravity, exploring the boundary mode's gravitational corrections to cosmological observables and examining contributions from different topologies. By computing no-boundary wavefunctions and probability measures, the research also highlights the dominance of two-dimensional nearly de Sitter gravity dynamics on certain observables.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
Summary: The study focuses on the thermodynamic properties of two-dimensional geometries flowing away from an asymptotically AdS(2) spacetime from both macroscopic and microscopic perspectives. A precise map for constructing fixed background metrics and computationally tractable RG flows in SYK-type models at different temperatures is presented. In certain parameter regimes, the flow geometry is argued to interpolate between two (near) AdS(2) spacetimes, suggesting a transition between different spacetime geometries.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
L. Aalsma et al.
Summary: The article discusses the implications of recent progress in understanding the black hole information paradox for complementarity in de Sitter space. It describes a bulk procedure that allows information expelled through the cosmological horizon to be received by an antipodal observer, relying crucially on selection of the Bunch-Davies vacuum state and the presence of an (entangled) energy reservoir.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Alice Bernamonti et al.
Summary: The study focuses on the influence of angular momentum on holographic complexity of rotating black holes, revealing similarities with charged black holes. The inclusion of counterterms in the calculation is crucial for understanding the effects, especially in early time dependence. In the grand canonical ensemble, complexity of formation exhibits linear relation with temperature and diverges in the speed of light angular velocity limit.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Watse Sybesma
Summary: In de Sitter space, using the quantum Ryu-Takayanagi or island formula, entanglement entropy between states inside and outside the cosmological horizon was computed, resulting in the formation of an 'island' at the transition point which is significantly different from black hole horizons and may move back in time. These differences are crucial for non-violation of the no-cloning theorem in entanglement wedge reconstruction. Additionally, the introduction of a scrambling time reveals an entropy dependence expected for black holes.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Astronomy & Astrophysics
Leonard Susskind
Summary: The Goheer-Kleban-Susskind no-go theorem highlights the incompatibility between the symmetry of de Sitter space and finite entropy. Recent developments suggest that eternal de Sitter space, if it exists, may just be an ensemble average.
Review
Physics, Multidisciplinary
Ahmed Almheiri et al.
Summary: This review discusses recent progress on the black hole information problem, focusing on a new understanding of calculating the entropy of Hawking radiation. It shows how the method for computing gravitational fine-grained entropy can be extended to account for the entropy of Hawking radiation, revealing significant corrections needed for consistency with unitary black hole evaporation.
REVIEWS OF MODERN PHYSICS
(2021)
Article
Physics, Particles & Fields
Lars Aalsma et al.
Summary: Recent research has shown that quantum extremal islands can contribute to the fine-grained entropy of black hole radiation, reproducing the unitary Page curve. In de Sitter space, an observer may be able to decode information hidden behind the cosmological horizon, but this could potentially lead to the observer hitting a singularity that forms earlier than the Page time.
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