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Holographic Complexity

Authors
  • Alishahiha, Mohsen
Type
Published Article
Publication Date
Jan 15, 2016
Submission Date
Sep 22, 2015
Identifiers
DOI: 10.1103/PhysRevD.92.126009
Source
arXiv
License
Yellow
External links

Abstract

For a field theory with a gravitational dual, following Susskind's proposal we define holographic complexity for a subsystem. The holographic complexity is proportional to the volume of a co-dimension one time slice in the bulk geometry enclosed by the extremal co-dimension two hyper-surface appearing in the computation of the holographic entanglement entropy. The proportionally constant, up to a numerical order of one factor is G R where G is the Newton constant and R is the curvature of the space time. We study this quantity in certain holographic model. We also explore a possible relation between the defined quantity and fidelity appearing in quantum information literature.

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