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The Gravity Dual of a Density Matrix

Authors
  • Czech, Bartlomiej
  • Karczmarek, Joanna L.
  • Nogueira, Fernando
  • Van Raamsdonk, Mark
Type
Preprint
Publication Date
May 10, 2012
Submission Date
Apr 05, 2012
Identifiers
DOI: 10.1088/0264-9381/29/15/155009
Source
arXiv
License
Yellow
External links

Abstract

For a state in a quantum field theory on some spacetime, we can associate a density matrix to any subset of a given spacelike slice by tracing out the remaining degrees of freedom. In the context of the AdS/CFT correspondence, if the original state has a dual bulk spacetime with a good classical description, it is natural to ask how much information about the bulk spacetime is carried by the density matrix for such a subset of field theory degrees of freedom. In this note, we provide several constraints on the largest region that can be fully reconstructed, and discuss specific proposals for the geometric construction of this dual region.

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