TY - JOUR
T1 - Volume complexity for Janus AdS3 geometries
AU - Auzzi, Roberto
AU - Baiguera, Stefano
AU - Bonansea, Sara
AU - Nardelli, Giuseppe
AU - Toccacelo, Kristian
N1 - Publisher Copyright:
© 2021, The Author(s).
PY - 2021/8/1
Y1 - 2021/8/1
N2 - 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.
AB - 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.
KW - AdS-CFT Correspondence
KW - Black Holes
UR - http://www.scopus.com/inward/record.url?scp=85112806566&partnerID=8YFLogxK
U2 - 10.1007/JHEP08(2021)045
DO - 10.1007/JHEP08(2021)045
M3 - Article
AN - SCOPUS:85112806566
SN - 1126-6708
VL - 2021
JO - Journal of High Energy Physics
JF - Journal of High Energy Physics
IS - 8
M1 - 45
ER -