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arXiv · 1405.4829

Classical and quantum temperature fluctuations via holography

Alexander Balatsky·Sven Bjarke Gudnason·Yaron Kedem·Alexander Krikun·Larus Thorlacius·Konstantin Zarembo
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Abstract

We study local temperature fluctuations in a 2+1 dimensional CFT on the sphere, dual to a black hole in asymptotically AdS spacetime. The fluctuation spectrum is governed by the lowest-lying hydrodynamic modes of the system whose frequency and damping rate determine whether temperature fluctuations are thermal or quantum. We calculate numerically the corresponding quasinormal frequencies and match the result with the hydrodynamics of the dual CFT at large temperature. As a by-product of our analysis we determine the appropriate boundary conditions for calculating low-lying quasinormal modes for a four-dimensional Reissner-Nordstr\"om black hole in global AdS.

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Alexander Balatsky, Sven Bjarke Gudnason, Yaron Kedem, Alexander Krikun, Larus Thorlacius, Konstantin Zarembo. 2014-05-19. Classical and quantum temperature fluctuations via holography. https://doi.org/10.1007/jhep01(2015)011

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