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Volume complexity for Janus $\mathrm{AdS}_3$ geometries

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arxiv 2105.08729 v2 pith:T3Q5XMTF submitted 2021-05-18 hep-th

classification hep-th
keywords complexityjanusvolumebackgroundblackcftscouplingsgeometries
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abstract

We investigate the complexity=volume proposal in the case of Janus AdS$_3$ 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.

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Cited by 1 Pith paper

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  1. Holographic Correlators of Boundary/Crosscap CFTs in Two Dimensions

    hep-th 2025-01 accept novelty 6.0 of 10

    Explicit bulk derivations yield two- and three-point stress tensor correlators in AdS3/BCFT2 and scalar and stress tensor correlators for XCFT2 on RP2, with tension independence and finite-cutoff deformations.

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