Alladi Ramakrishnan Hall

Generalized entanglement entropy and holography

Nana Cabo-Bizet

University of the Witwatersrand, South Africa

In this work, we first introduce a generalized von Neumann entropy that
depends only on the density matrix. This is based on a previous proposal
by one of us modifying the Shannon entropy by considering
non-equilibrium systems on stationary states, and an entropy functional
depending only on the probability. We propose a generalization of the
replica trick and find that the resulting modified von Neumann entropy
is precisely the previous mentioned entropy that was obtained by other
assumptions. Then, we address the question whether alternative
entanglement entropies can play a role in the gauge/gravity duality. Our
focus are 2dCFT and their gravity duals. Our results show corrections to
the von Neumann entropy S0 that are larger than the usual UV ones and
also than the corrections to the length dependent AdS3 entropy which
result comparable to the UV ones. The correction terms due to the new
entropy would modifythe Ryu-Takayanagi identification between the CFT
and the gravitational AdS3 entropies.