On charged black holes in anti-de Sitter space

Brecher, Dominic; He, Junpeng; Rozali, Moshe

doi:10.1088/1126-6708/2005/04/004

Cited by 33 publications

(61 citation statements)

References 43 publications

(102 reference statements)

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“…Thus, for variations of this form we find 16) so that the action is indeed stationary when the bulk equations of motion are satisfied. Let us now consider states |α , |β which are Gaussian at time t − , t + respectively.…”

Section: An Illustrative Example: the Scalar Test Field In Detailmentioning

confidence: 79%

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States and boundary terms: subtleties of lorentzian AdS/CFT

Marolf

2005

J. High Energy Phys.

126

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Abstract:We complete the project of specifying the Lorentzian AdS/CFT correspondence and its approximation by bulk semi-classical methods begun by earlier authors. At the end, the Lorentzian treatment is self-contained and requires no analytic continuation from the Euclidean. The new features involve a careful study of boundary terms associated with an initial time t − and a final time t + . These boundary terms are determined by a choice of quantum states. The main results in the semi-classical approximation are 1) The times t ± may be finite, and need only label Cauchy surfaces respectively to the past and future of the points at which one wishes to obtain CFT correlators. Subject to this condition on t ± , we provide a bulk computation of CFT correlators that is manifestly independent of t ± . 2) As a result of (1), all CFT correlators can be expressed in terms of a path integral over regions of spacetime outside of any black hole horizons.3) The details of the boundary terms at t ± serve to guarrantee that, at leading order in this approximation, any CFT one-point function is given by a simple boundary value of the classical bulk solution at null infinity, I. This work is dedicated to the memory of Bryce S. DeWitt. The remarks in this paper largely study the relation of the AdS/CFT dictionary to the Schwinger variational principle, which the author first learned from DeWitt as a Ph.D. student.

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Section: An Illustrative Example: the Scalar Test Field In Detailmentioning

confidence: 79%

“…This is the context considered by [13,14], which showed how the Lorentzian wavefunction could be written as a path integral over a complex contour. 16 Here we have in mind the usual setting of an asymptotically AdS bulk with a single asymptotic region.…”

mentioning

confidence: 99%

States and boundary terms: subtleties of lorentzian AdS/CFT

Marolf

2005

J. High Energy Phys.

126

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“…In the large ν limit, upon using the Stirling formula, the pole line is replaced by a branch cut. 16 Note the potential V is inverted since we work in the classically forbidden region of the Schrodinger problem (2.15).…”

Section: Probing the Physics Beyond The Horizon And Near The Singularitymentioning

confidence: 99%

Excursions beyond the horizon: black hole singularities in Yang-Mills theories (I)

Festuccia¹,

Liu²

2006

J. High Energy Phys.

151

272

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We study black hole singularities in the AdS/CFT correspondence. These singularities show up in CFT in the behavior of finite-temperature correlation functions. We first establish a direct relation between space-like geodesics in the bulk and momentum space Wightman functions of CFT operators of large dimensions. This allows us to probe the regions inside the horizon and near the singularity using the CFT. Information about the black hole singularity is encoded in the exponential falloff of finite-temperature correlators at large imaginary frequency. We construct new gauge invariant observables whose divergences reflect the presence of the singularity. We also find a UV/UV connection that governs physics inside the horizon. Additionally, we comment on the possible resolution of the singularity.

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“…This is due to the recent work in exploring black hole singularity structure using geodesics and correlators on the dual CFT on the boundary [14][15][16][17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Integrability of particle motion and scalar field propagation in Kerr-(anti-) de Sitter black hole spacetimes in all dimensions

Vasudevan

Stevens

2005

Phys. Rev. D

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We study the Hamilton-Jacobi and massive Klein-Gordon equations in the general Kerr-(Anti) de Sitter black hole background in all dimensions. Complete separation of both equations is carried out in cases when there are two sets of equal black hole rotation parameters.We analyze explicitly the symmetry properties of these backgrounds that allow for this Liouville integrability and construct a nontrivial irreducible Killing tensor associated with the enlarged symmetry group which permits separation. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties. This work greatly generalizes previously known results for both the Myers-Perry metrics, and the Kerr-(Anti) de Sitter metrics in higher dimensions.

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On charged black holes in anti-de Sitter space

Cited by 33 publications

References 43 publications

States and boundary terms: subtleties of lorentzian AdS/CFT

States and boundary terms: subtleties of lorentzian AdS/CFT

Excursions beyond the horizon: black hole singularities in Yang-Mills theories (I)

Integrability of particle motion and scalar field propagation in Kerr-(anti-) de Sitter black hole spacetimes in all dimensions

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