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Recent developments involving JT gravity in two dimensions indicate that under some conditions, a gravitational path integral is dual to an average over an ensemble of boundary theories, rather than to a specific boundary theory. For an…

高能物理 - 理论 · 物理学 2020-12-02 Alexander Maloney , Edward Witten

By generalizing different recent works to the context of higher curvature gravity, we provide a unifying framework for three related results: (i) If an asymptotically AdS spacetime computes the entanglement entropies of ball-shaped regions…

高能物理 - 理论 · 物理学 2018-05-22 Felix M. Haehl , Eliot Hijano , Onkar Parrikar , Charles Rabideau

We study out-of-time ordered four-point functions in two dimensional conformal field theories by suitably analytically continuing the Euclidean correlator. For large central charge theories with a sparse spectrum, chaotic dynamics is…

高能物理 - 理论 · 物理学 2019-03-22 Chi-Ming Chang , David M. Ramirez , Mukund Rangamani

We propose a codimension two holography between a gravitational theory on a $d+1$ dimensional wedge spacetime and a $d-1$ dimensional CFT which lives on the corner of the wedge. Formulating this as a generalization of AdS/CFT, we explain…

高能物理 - 理论 · 物理学 2021-01-21 Ibrahim Akal , Yuya Kusuki , Tadashi Takayanagi , Zixia Wei

We describe general constraints on the elliptic genus of a 2d supersymmetric conformal field theory which has a gravity dual with large radius in Planck units. We give examples of theories which do and do not satisfy the bounds we derive,…

高能物理 - 理论 · 物理学 2016-11-03 Nathan Benjamin , Miranda C. N. Cheng , Shamit Kachru , Gregory W. Moore , Natalie M. Paquette

We develop a generally applicable method for constructing functions, $C$, which have properties similar to Zamolodchikov's $C$-function, and are geometrically natural objects related to the theory space explored by non-perturbative…

高能物理 - 理论 · 物理学 2015-03-24 Daniel Becker , Martin Reuter

The Weak Gravity Conjecture is typically stated as a bound on the mass-to-charge ratio of a particle in the theory. Alternatively, it has been proposed that its natural formulation is in terms of the existence of a particle which is…

高能物理 - 理论 · 物理学 2021-12-15 Ofer Aharony , Eran Palti

We study the three dimensional Einstein gravity conformally coupled to a scalar field. Solutions of this theory are geometries with vanishing scalar curvature. We consider solutions with a constant scalar field which corresponds to an…

高能物理 - 理论 · 物理学 2012-11-08 M. Hasanpour , F. Loran , H. Razaghian

We study how coarse-graining procedure of an underlying UV-complete quantum gravity gives rise to a connected geometry. It has been shown, quantum entanglement plays a key role in the emergence of such a geometric structure, namely a smooth…

高能物理 - 理论 · 物理学 2021-11-10 Kanato Goto , Yuya Kusuki , Kotaro Tamaoka , Tomonori Ugajin

We construct a bulk spacetime from a boundary CFT, $O(N)$ free scalar model, at finite temperature using a smearing technique, called a conformal flow. The bulk metric is constructed as an information metric associated with the boundary…

高能物理 - 理论 · 物理学 2023-08-03 Sinya Aoki , János Balog , Kiyoharu Kawana , Kengo Shimada

In this paper, we study the ensemble average of boundary CFT (BCFT) data consistent with the bootstrap equations. We apply the results to computing ensemble average of copies of multi-point correlation functions of boundary changing…

高能物理 - 理论 · 物理学 2025-05-01 Ling-Yan Hung , Yikun Jiang , Bing-Xin Lao

We determine the complex geometries dual to the semi-classical saddles in three-dimensional gravity with positive or negative cosmological constant. We examine the semi-classical saddles in Liouville field theory and interpret them in terms…

高能物理 - 理论 · 物理学 2024-07-18 Heng-Yu Chen , Yasuaki Hikida , Yusuke Taki , Takahiro Uetoko

We construct a Type II$_\infty$ von Neumann algebra that describes the large $N$ physics of single-trace operators in AdS/CFT in the microcanonical ensemble, where there is no need to include perturbative $1/N$ corrections. Using only the…

高能物理 - 理论 · 物理学 2023-04-19 Venkatesa Chandrasekaran , Geoff Penington , Edward Witten

In this long overdue second installment, we continue to develop the conformal bootstrap program for ${\mathcal N}=4$ superconformal field theories in four dimensions via an analysis of the correlation function of four stress-tensor…

高能物理 - 理论 · 物理学 2019-07-24 Christopher Beem , Leonardo Rastelli , Balt C. van Rees

Various observables in compact CFTs are required to obey positivity, discreteness, and integrality. Positivity forms the crux of the conformal bootstrap, but understanding of the abstract implications of discreteness and integrality for the…

高能物理 - 理论 · 物理学 2021-02-24 Justin Kaidi , Eric Perlmutter

We study quantum gravity on $dS_{3}$ using the Chern-Simons formulation of three -dimensional gravity. We derive an exact expression for the partition function for quantum gravity on $dS_{3}$ in a Euclidean path integral approach. We show…

高能物理 - 理论 · 物理学 2009-11-07 T. R. Govindarajan , R. K. Kaul , V. Suneeta

Assuming that the mechanism proposed by Gell-Mann and Hartle works as a mechanism for decoherence and classicalization of the metric field, we formally derive the form of an effective theory for the gravitational field in a semiclassical…

广义相对论与量子宇宙学 · 物理学 2011-04-15 Rosario Martin , Enric Verdaguer

We study the torus partition functions of free bosonic CFTs in two dimensions. Integrating over Narain moduli defines an ensemble-averaged free CFT. We calculate the averaged partition function and show that it can be reinterpreted as a sum…

高能物理 - 理论 · 物理学 2021-02-04 Nima Afkhami-Jeddi , Henry Cohn , Thomas Hartman , Amirhossein Tajdini

We outline a general derivation of holographic duality between "TQFT gravity" - the path integral of a 3d TQFT summed over different topologies - and an ensemble of boundary 2d CFTs. The key idea is to place the boundary ensemble on a…

高能物理 - 理论 · 物理学 2025-02-18 Anatoly Dymarsky , Alfred Shapere

For cosmological topologically massive gravity at the chiral point we calculate momentum space 2- and 3-point correlators of operators in the postulated dual CFT on the cylinder. These operators are sourced by the bulk and boundary…

高能物理 - 理论 · 物理学 2014-11-20 Daniel Grumiller , Ivo Sachs