Comments on holographic complexity
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Publication:1692991
DOI10.1007/JHEP03(2017)118zbMATH Open1377.81160arXiv1612.00433OpenAlexW2558734470MaRDI QIDQ1692991
Author name not available (Why is that?)
Publication date: 10 January 2018
Published in: (Search for Journal in Brave)
Abstract: We study two recent conjectures for holographic complexity: the complexity=action conjecture and the complexity=volume conjecture. In particular, we examine the structure of the UV divergences appearing in these quantities, and show that the coefficients can be written as local integrals of geometric quantities in the boundary. We also consider extending these conjectures to evaluate the complexity of the mixed state produced by reducing the pure global state to a specific subregion of the boundary time slice. The UV divergences in this subregion complexity have a similar geometric structure, but there are also new divergences associated with the geometry of the surface enclosing the boundary region of interest. We discuss possible implications arising from the geometric nature of these UV divergences.
Full work available at URL: https://arxiv.org/abs/1612.00433
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