Black hole excited states from broken translations in Euclidean time
Black hole excited states from broken translations in Euclidean time
We prepare an excited finite temperature state in N = 4 SYM by means of a Euclidean path integral with a relevant deformation. The deformation explicitly breaks imaginary-time translations along the thermal circle whilst preserving its periodicity. We then study how the state relaxes to thermal equilibrium in real time. Computations are performed using real-time AdS/CFT, by constructing novel mixed-signature black holes in numerical relativity corresponding to Schwinger-Keldysh boundary conditions. These correspond to deformed cigar geometries in the Euclidean, glued to a pair of dynamical spacetimes in the Lorentzian. The maximal extension of the Lorentzian black hole exhibits a ‘causal shadow’, a bulk region which is spacelike separated from both boundaries. We show that causal shadows are generic in path-integral prepared states where imaginary-time translations along the thermal circle are broken.
AdS-CFT Correspondence, Black Holes, Gauge-Gravity Correspondence
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
25 January 2024
Pantelidou, Christiana
c20e6717-394f-4884-b741-d5ab233c8e27
Withers, Benjamin
e510375b-c5d2-4d5f-bd68-40ace13f0ec9
Pantelidou, Christiana and Withers, Benjamin
(2024)
Black hole excited states from broken translations in Euclidean time.
Journal of High Energy Physics, 2024 (1), [152].
(doi:10.1007/JHEP01(2024)152).
Abstract
We prepare an excited finite temperature state in N = 4 SYM by means of a Euclidean path integral with a relevant deformation. The deformation explicitly breaks imaginary-time translations along the thermal circle whilst preserving its periodicity. We then study how the state relaxes to thermal equilibrium in real time. Computations are performed using real-time AdS/CFT, by constructing novel mixed-signature black holes in numerical relativity corresponding to Schwinger-Keldysh boundary conditions. These correspond to deformed cigar geometries in the Euclidean, glued to a pair of dynamical spacetimes in the Lorentzian. The maximal extension of the Lorentzian black hole exhibits a ‘causal shadow’, a bulk region which is spacelike separated from both boundaries. We show that causal shadows are generic in path-integral prepared states where imaginary-time translations along the thermal circle are broken.
Text
JHEP01(2024)152
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Accepted/In Press date: 13 January 2024
Published date: 25 January 2024
Keywords:
AdS-CFT Correspondence, Black Holes, Gauge-Gravity Correspondence
Identifiers
Local EPrints ID: 487175
URI: http://eprints.soton.ac.uk/id/eprint/487175
ISSN: 1126-6708
PURE UUID: 03c8fca6-df32-4270-ae5b-4c4aa7364a88
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Date deposited: 15 Feb 2024 13:34
Last modified: 18 Mar 2024 02:27
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Author:
Christiana Pantelidou
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