High Energy Theory Seminar
14 January 2011
Matthew Headrick (Brandeis)
Entanglement, information, and
holography
Abstract:
Ryu and Takayanagi have conjectured a simple formula for the
entanglement entropy of an arbitrary spatial region in an arbitrary
holographic field theory. This conjecture, which remains unproven,
makes a number of interesting predictions. A rather dramatic one is
that the mutual information between separated regions drops to zero at
a finite separation. We will present independent evidence for this
prediction in two-dimensional conformal field theories, based on
calculations of entanglement Renyi entropies using both holographic and
CFT techniques. The necessary background material from quantum
information theory will be explained along the way.
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