We investigate the complexity=volume proposal in the case of Janus AdS3 geometries, both at zero and finite temperature. The leading contribution coming from the Janus interface is a logarithmic divergence, whose coefficient is a function of the dilaton excursion. In the presence of the defect, complexity is no longer topological and becomes temperature-dependent. We also study the time evolution of the extremal volume for the time-dependent Janus BTZ black hole. This background is not dual to an interface but to a pair of entangled CFTs with different values of the couplings. At late times, when the equilibrium is restored, the couplings of the CFTs do not influence the complexity rate. On the contrary, the complexity rate for the out-of-equilibrium system is always smaller compared to the pure BTZ black hole background.

Auzzi, R., Baiguera, S., Bonansea, S., Nardelli, G., Toccacelo, K. (2021). Volume complexity for Janus AdS3 geometries. JOURNAL OF HIGH ENERGY PHYSICS, 2021(8) [10.1007/JHEP08(2021)045].

Volume complexity for Janus AdS3 geometries

Baiguera S.;
2021

Abstract

We investigate the complexity=volume proposal in the case of Janus AdS3 geometries, both at zero and finite temperature. The leading contribution coming from the Janus interface is a logarithmic divergence, whose coefficient is a function of the dilaton excursion. In the presence of the defect, complexity is no longer topological and becomes temperature-dependent. We also study the time evolution of the extremal volume for the time-dependent Janus BTZ black hole. This background is not dual to an interface but to a pair of entangled CFTs with different values of the couplings. At late times, when the equilibrium is restored, the couplings of the CFTs do not influence the complexity rate. On the contrary, the complexity rate for the out-of-equilibrium system is always smaller compared to the pure BTZ black hole background.
Articolo in rivista - Articolo scientifico
AdS-CFT Correspondence; Black Holes;
English
2021
2021
8
45
open
Auzzi, R., Baiguera, S., Bonansea, S., Nardelli, G., Toccacelo, K. (2021). Volume complexity for Janus AdS3 geometries. JOURNAL OF HIGH ENERGY PHYSICS, 2021(8) [10.1007/JHEP08(2021)045].
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/10281/488526
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