STU attractors from vanishing concurrence
Abstract
Concurrence is an entanglement measure characterizing the {\it mixed} state bipartite correlations inside of a pure state of an -qubit system. We show that after organizing the charges and the moduli in the STU model of , supergravity to a three-qubit state, for static extremal spherically symmetric BPS black hole solutions the vanishing condition for all of the bipartite concurrences on the horizon is equivalent to the attractor equations. As a result of this the macroscopic black hole entropy given by the three-tangle can be reinterpreted as a linear entropy characterizing the {\it pure} state entanglement for an arbitrary bipartite split. Both for the BPS and non-BPS cases explicit expressions for the concurrences are obtained, with their vanishing on the horizon is demonstrated.
Cite
@article{arxiv.1011.4180,
title = {STU attractors from vanishing concurrence},
author = {Péter Lévay and Szilárd Szalay},
journal= {arXiv preprint arXiv:1011.4180},
year = {2011}
}
Comments
15 pages, 2 figures, Latex