Subsystem complexity in warped AdS

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Publication:2332255

DOI10.1007/JHEP09(2019)114zbMATH Open1423.81148arXiv1906.09345MaRDI QIDQ2332255

Author name not available (Why is that?)

Publication date: 1 November 2019

Published in: (Search for Journal in Brave)

Abstract: We compute the ultraviolet divergences of holographic subregion complexity for the left and right factors of the thermofield double state in warped AdS3 black holes, both for the action and the volume conjectures. Besides the linear divergences, which are also present in the BTZ black hole, additional logarithmic divergences appear. For the action conjecture, these log divergences are not affected by the arbitrarity in the length scale associated with the counterterm needed to ensure reparameterization invariance. We find that the subregion action complexity obeys the superadditivity property for the thermofield double in warped AdS3, independently from the action counterterm coefficient. We study the temperature dependence of subregion complexity at constant angular momentum and we find that it is correlated with the sign of the specific heat.


Full work available at URL: https://arxiv.org/abs/1906.09345



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