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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
Matthijs Hogervorst et al.
Summary: We study quantum field theory on a de Sitter spacetime dS(d+1) background and utilize the Hilbert space decomposition and irreducible unitary representations of its isometry group SO(d + 1, 1). By applying the Hilbert space formalism, we recover the Kallen-Lehmann spectral decomposition of the scalar bulk two-point function and establish a relationship between poles in the spectral densities and the boundary CFT data. We also derive an inversion formula for the spectral density through analytical continuation and explore the conformal partial wave decomposition of the four-point functions of boundary operators.
JOURNAL OF HIGH ENERGY PHYSICS
(2023)
Article
Physics, Multidisciplinary
Matthew Heydeman et al.
Summary: This paper computes the partition function of near-BPS black holes in supergravity and shows that the gravitational path integral can be reduced to that of a N = 4 supersymmetric extension of the Schwarzian theory. The results indicate that black holes in supergravity have a mass gap and a large extremal black hole degeneracy consistent with the Bekenstein-Hawking area.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(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, Multidisciplinary
Daniel Grumiller et al.
Summary: This article introduces the generalized dilaton gravity model in 2D, which is the most general deformation of the Jackiw-Teitelboim model that maintains local Lorentz invariance. These models are exactly soluble in certain cases and have some interesting properties in holography.
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
Lorenzo Di Pietro et al.
Summary: This paper investigates the fundamentals of quantum field theory on a rigid de Sitter space and demonstrates that the perturbative expansion of late-time correlation functions can be generated by a non-unitary Lagrangian on a Euclidean AdS geometry. It simplifies perturbative computations and establishes the basic properties of these correlators, which form a Euclidean CFT. The spectral density that captures the conformal partial wave expansion of a late-time four-point function is inferred, an OPE expansion is derived, and the operator spectrum is constrained. Unitarity of the de Sitter theory is manifested as the positivity of the spectral density, and this statement holds non-perturbatively.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Beatrix Muhlmann
Summary: This article investigates the Euclidean gravitational path integral coupled with matter CFT and explores the semiclassical limit of timelike Liouville theory. By calculating the two-sphere partition function and comparing it with the DOZZ formula, some conclusions are obtained.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
Summary: This study develops a one-dimensional (Conformal) Quantum Gravity model and establishes its effectiveness in computing the partition function of the Schwarzian theory. The non-localities in the model are related to the value of fixed gauge invariant moduli, and the properties of the model when all degrees of freedom fluctuate are also studied.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Raghu Mahajan et al.
Summary: In this study, we compute the partition functions of the sphere and disk in semiclassical Liouville and in double-scaled matrix integrals. We find a precise numerical match between the Liouville answer and the matrix integral answer for the quantity sphere/disk(2). An application of this result is the demonstration of the infinite nature of the sphere partition function in JT gravity.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
Article
Physics, Particles & Fields
Donald Marolf
Summary: Thermal partition functions for gravitational systems have traditionally been studied using Euclidean path integrals, but the conformal factor problem in Euclidean signature limits its usefulness. This paper shows that thermal gravitational partition functions can also be described by real-time path integrals using real Lorentzian metrics. However, certain codimension-2 singularities need to be allowed. The study demonstrates that the usual Euclidean-signature black holes define saddle points for the real-time path integrals, and when these black holes have positive specific heat, they contribute significantly to the semiclassical limit.
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
Gaston Giribet et al.
Summary: Motivated by recent works on the connection between 2D quantum gravity and timelike Liouville theory, this paper revisits the latter and clarifies aspects of its partition function computation. Detailed computations of the Liouville partition function on the fluctuating sphere are presented for finite values of the central charge. Results for spacelike and timelike theories are given, and their properties are analyzed. The derivation of the partition function from the DOZZ formula, the Coulomb gas approach, a semiclassical computation using the fixed area saddle point, and an exact expression for the timelike partition function are discussed, with the latter's expansion compared to 3-loop perturbative calculations in the literature. The connection to 2D black hole and other related topics is also explored.
JOURNAL OF HIGH ENERGY PHYSICS
(2022)
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
Dionysios Anninos et al.
Summary: This study focuses on the genus expansion of the gravitational path integral in two-dimensional spacetime with a positive cosmological constant, demonstrating an exponential growth of OPE coefficients and establishing a connection between matrix and gravity perspectives. The results provide a possible path towards a microscopic picture of a two-dimensional de Sitter universe.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Y. T. Albert Law
Summary: This study investigates the 1-loop path integrals on Sd+1 for general massive, shift-symmetric and (partially) massless totally symmetric tensor fields of arbitrary spin s >= 0 in any dimensions d >= 2. Detailed derivations are provided for path integrals of massless fields of arbitrary integer spins s >= 1, including a higher spin analog of Polchinski's phase. General prescriptions are also given for general massive and shift-symmetric fields of arbitrary integer spins and partially massless fields of arbitrary integer spins and depths.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
Summary: The study examines the thermodynamic contributions to the three-dimensional de Sitter horizon from metric and Chern-Simons gauge field fluctuations. In the Euclidean signature, these are calculated by the gravity partition function coupled to matter semi-classically expanded about the round three-sphere saddle. The Lorentzian picture and the gravitational edge-mode theory at the de Sitter horizon are explored, drawing inspiration from topological entanglement entropy literature.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Zhongshan An et al.
Summary: This study explores the relationship between the initial boundary value problem (IBVP) and quasi-local Hamiltonians in General Relativity. Different boundary conditions are proposed and analyzed in the context of the IBVP, with a corresponding Hamiltonian analysis conducted using the covariant phase space method.
CLASSICAL AND QUANTUM GRAVITY
(2021)
Article
Physics, Mathematical
Edward Witten
Summary: This paper reviews the known boundary conditions in General Relativity on a spacetime of Euclidean signature, discussing the issues with the obvious Dirichlet boundary condition and proposing a more effective boundary condition for solving perturbation theory problems.
REVIEWS IN MATHEMATICAL PHYSICS
(2021)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
Summary: We studied the Euclidean path integral of two-dimensional quantum gravity with positive cosmological constant coupled to conformal matter with large and positive central charge. Our analysis involved a semiclassical expansion around a round two-sphere saddle and working in the Weyl gauge, leading to a proposal for an all orders result for the two-dimensional gravitational partition function on the two-sphere, combined with insights from the DOZZ formula.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Astronomy & Astrophysics
Charlotte Sleight et al.
Summary: In this paper, a simple general relation between tree-level exchanges in anti-de Sitter (AdS) and de Sitter (dS) space is presented, providing a complete AdS to dS dictionary. Techniques and results for conformal field theory correlators dual to AdS-Witten diagrams are directly imported to boundary correlation functions in dS. Various indispensable tools from the conformal bootstrap are extended to boundary correlation functions in dS using this relation, including Mellin amplitudes and the spectral representation for dS exchanges. Additionally, the relation between AdS and dS exchanges is derived using a recently introduced Mellin-Barnes representation for boundary correlators in momentum space.
Article
Physics, Particles & Fields
Beatrix Muhlmann
Summary: In the context of two-dimensional quantum gravity coupled to conformal matter and fixed area, we discuss the partition function on a round two-sphere. By considering the fixed area constraint and studying Feynman diagrams, we find that all ultraviolet divergences cancel up to two-loop order. Our results are compared with the two-sphere partition function obtained from the DOZZ formula.
JOURNAL OF HIGH ENERGY PHYSICS
(2021)
Article
Physics, Particles & Fields
Ahmed Almheiri et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Particles & Fields
Donald Marolf et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2020)
Article
Physics, Multidisciplinary
Tarek Anous et al.
Article
Physics, Particles & Fields
Imtak Jeon et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Dionysios Anninos et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Physics, Particles & Fields
Teresa Bautista et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2019)
Article
Astronomy & Astrophysics
Dionysios Anninos et al.
CLASSICAL AND QUANTUM GRAVITY
(2018)
Article
Astronomy & Astrophysics
Tom Banks et al.
INTERNATIONAL JOURNAL OF MODERN PHYSICS D
(2018)
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Xi Dong et al.
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(2018)
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Bernard de Wit et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2018)
Article
Physics, Multidisciplinary
Mislav Cvitkovic et al.
JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL
(2017)
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Ping Gao et al.
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(2017)
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(2016)
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Atish Dabholkar et al.
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(2015)
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Sameer Murthy
JOURNAL OF HIGH ENERGY PHYSICS
(2014)
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Stephen H. Shenker et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2014)
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Tudor Dimofte et al.
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(2013)
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Ashoke Sen
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(2013)
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Atish Dabholkar et al.
JOURNAL OF HIGH ENERGY PHYSICS
(2013)
Review
Physics, Nuclear
Dionysios Anninos
INTERNATIONAL JOURNAL OF MODERN PHYSICS A
(2012)
Article
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Alejandra Castro et al.
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(2011)
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(2006)
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(2006)
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(2005)
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(2004)
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(2004)
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PHYSICAL REVIEW LETTERS
(2002)
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S Gao et al.
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(2000)