Excursions beyond the horizon: Black hole singularities in Yang-Mills theories. I.

By G. Festuccia, Hong Liu. 2005

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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.

Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9bd0e455d2360c0f82bfa277855b432fa5145c1a

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Citations in the corpus

Real-time gauge/gravity duality: prescription, renormalization and examples (2008, background): “There have been several earlier works discussing holography in Lorentzian signature, including [9, 10, 11, 12, 13, 14, 15, 16, 17, 18, 19].”
A Bohr-Sommerfeld quantization formula for quasinormal frequencies of AdS black holes (2008, methodology): “It was pointed out in [11] that the analytic behavior of the Wightman function in different regions of the frequency plane reflects the bulk geometry in different regions of the black hole spacetime, i.”
The AdS/CFT correspondence (2014, methodology): “This was explicitly implemented in [79] (see also [93]) which identified the CFT signature of the black hole singularity using analytically continued correlators of high-dimension operators.”
Weak Field Black Hole Formation in Asymptotically AdS Spacetimes (2009, background): “pure state in its ‘low temperature’ phase to an approximately thermalized state in its high temperature phase (see [35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47] for closely related earlier work and [48, 49, 50, 51] for analyses of thermalization directly in large N gauge theories).”
Local bulk operators in AdS/CFT: A holographic description of the black hole interior (2006, methodology): “This shows quite explicitly that we can recover local physics outside the BTZ horizon using operators that act on a single copy of the CFT, while to describe the region inside the horizon we must use operators that act on both the CFT and its thermofield double [6, 16, 17, 18, 27].”
An infalling observer in AdS/CFT (2012, background): “The continuum in ω is a large N artifact and related to the approximately continuous spectrum of the dual large N gauge theory in the deconfined phase, see [26, 28] for more details.”
Krylov complexity in conformal field theory (2021, methodology): “Corresponding comparison is delegated to Supplemental Material. iv) In case of holographic CFT thermal two-point function can be calculated by solving wave equation in the bulk [16, 17].”
A Holographic View on Physics out of Equilibrium (2010, background): “Moreover, in contrast to the previous discussions of probing the black hole singularity in AdS/CFT [191, 192], the use of bulk-cone singularities does not rely on analytic properties of the CFT correlators.”
Eikonal approximation in AdS/CFT: from shock waves to four-point functions (2006, unknown): “These results could then allow us to study, following reasonings along the lines of [19, 20, 21], the physics of the singularity in a full quantum gravity regime.”
Extremal surfaces as bulk probes in AdS/CFT (2012, methodology): “This was used to identify the CFT signature of the black hole singularity [14, 15], building on prior work of [16, 17, 18], by considering the insertion points x and y on two disconnected boundaries corresponding to the two asymptotic regions of an eternal black hole.”