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We show that the gravitational phase space for the near-horizon region of a bifurcate, axisymmetric Killing horizon in any dimension admits a 2D conformal symmetry algebra with central charges proportional to the area. This extends the…

高能物理 - 理论 · 物理学 2020-12-22 Lin-Qing Chen , Wan Zhen Chua , Shuwei Liu , Antony J. Speranza , Bruno de S. L. Torres

Quantum gravity in the region very near the horizon of an extreme Kerr black hole (whose angular momentum and mass are related by J=GM^2) is considered. It is shown that consistent boundary conditions exist, for which the asymptotic…

高能物理 - 理论 · 物理学 2013-05-29 Monica Guica , Thomas Hartman , Wei Song , Andrew Strominger

We discuss the quantization of a scalar field in three-dimensional asymptotic de Sitter space. We obtain explicit expressions for the Noether currents generating the isometry group in terms of the modes of the scalar field and the Liouville…

高能物理 - 理论 · 物理学 2020-05-13 Scott Ness , George Siopsis

The extremal Kerr black hole with the angular momentum J is conjectured to be dual to CFT with central charges c_L=c_R=12J. However, the central charge in the right sector remains to be explicitly derived so far. In order to investigate…

高能物理 - 理论 · 物理学 2011-01-27 Yoshinori Matsuo , Tatsuma Nishioka

We find an infinite set of new noncommuting conserved charges in a specific class of perturbed CFT's and present a criterion for their existence.They appear to be higher momenta of the already known commuting conserved currents.The algebra…

高能物理 - 理论 · 物理学 2008-02-03 Galen Sotkov , Marian Stanishkov

We prove that non-extremal black holes in four-dimensional general relativity exhibit an infinite-dimensional symmetry in their near horizon region. By prescribing a physically sensible set of boundary conditions at the horizon, we derive…

高能物理 - 理论 · 物理学 2019-01-25 Laura Donnay , Gaston Giribet , Hernán A. González , Miguel Pino

The phase space of three-dimensional gravity with Compere-Song-Strominger (CSS) boundary conditions is endowed with asymptotic symmetries consisting in the semi-direct product of a Virasoro and a $\hat{u}(1)$ Ka\v{c}-Moody algebra, and…

高能物理 - 理论 · 物理学 2021-02-23 Luca Ciambelli , Stéphane Detournay , Antoine Somerhausen

The near-horizon geometries of the extremal Kerr black hole and certain generalizations thereof are considered. Their isometry groups are all given by SL(2,R) x U(1). The usual boundary conditions of the Kerr/CFT correspondence enhance the…

高能物理 - 理论 · 物理学 2010-04-22 Jorgen Rasmussen

We investigate the recently proposed Kerr/CFT correspondence in the context of heterotic string theory. The Kerr/CFT correspondence states that the near-horizon states of an extremal four (or higher) dimensional black hole could be…

高能物理 - 理论 · 物理学 2009-08-17 A. M. Ghezelbash

We develop a new approach to find asymptotic symmetries in general relativity as a modification of the Lie-algebra-based approach proposed in T. Tomitsuka et al. [Classical Quantum Gravity 38, 225007 (2021)]. Those authors proposed an…

广义相对论与量子宇宙学 · 物理学 2022-04-20 Takeshi Tomitsuka , Koji Yamaguchi

We determine the asymptotic symmetry group of Killing horizons by choosing Gaussian null coordinates in the neighbourhood of the horizon and boundary conditions that respect the leading order terms in the metric. The analysis divides…

高能物理 - 理论 · 物理学 2017-11-22 Emil T. Akhmedov , Mahdi Godazgar

Null shells are a useful geometric construction to study the propagation of infinitesimally thin concentrations of massless particles or impulsive waves. After recalling the necessary and sufficient conditions obtained in [28] that allow…

广义相对论与量子宇宙学 · 物理学 2022-08-31 Miguel Manzano , Marc Mars

It has recently been shown that, in the vicinity of their event horizons, black holes exhibit an infinite-dimensional symmetry. This symmetry captures relevant physical information about the black hole, and in particular about its…

高能物理 - 理论 · 物理学 2019-09-04 Laura Donnay , Gaston Giribet

The covariant phase technique is used to compute the constraint algebra of the stationary axisymmetric charged black hole. A standard Virasoro subalgebra with corresponding central charge is constructed at a Killing horizon with Carlip's…

广义相对论与量子宇宙学 · 物理学 2009-10-31 Jiliang Jing , Mu-Lin Yan

We have a new observation that near horizon symmetry generators, corresponding to diffeomorphisms which leave the horizon structure invariant, satisfy noncommutative Heisenberg algebra. The results are valid for any null surfaces (which has…

广义相对论与量子宇宙学 · 物理学 2017-02-23 Bibhas Ranjan Majhi

We show that the recently proposed free boundary conditions for AdS$_3$ are dual to two-dimensional quantum gravity in certain fixed gauges. In particular, we note that an appropriate identification of the generator of Virasoro…

高能物理 - 理论 · 物理学 2014-04-02 Luis Apolo , Massimo Porrati

We derive the dual CFT Virasoro algebras from the algebra of conserved diffeomorphism charges, for a large class of abelian Kaluza-Klein black holes. Under certain conditions, such as non-vanishing electric and magnetic monopole charges,…

高能物理 - 理论 · 物理学 2011-03-14 Edwin Barnes , Diana Vaman , Chaolun Wu

We consider a (2+1)-dimensional holographic CFT on a static spacetime with globally timelike Killing vector. Taking the spatial geometry to be closed but otherwise general we expect a non-trivial vacuum energy at zero temperature due to the…

高能物理 - 理论 · 物理学 2016-02-03 Andrew Hickling , Toby Wiseman

We show that in 2d CFTs at large central charge, the coupling of the stress tensor to heavy operators can be re-absorbed by placing the CFT in a non-trivial background metric. This leads to a more precise computation of the Virasoro…

高能物理 - 理论 · 物理学 2015-12-08 A. Liam Fitzpatrick , Jared Kaplan , Matthew T. Walters

We use an isomorphism between the space of valence two Killing tensors on an n-dimensional constant sectional curvature manifold and the irreducible GL(n+1)-representation space of algebraic curvature tensors in order to translate the…

微分几何 · 数学 2013-11-14 Konrad P. Schöbel
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