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STU attractors from vanishing concurrence

High Energy Physics - Theory 2011-02-18 v1 Mathematical Physics math.MP Quantum Physics

Abstract

Concurrence is an entanglement measure characterizing the {\it mixed} state bipartite correlations inside of a pure state of an nn-qubit system. We show that after organizing the charges and the moduli in the STU model of N=2N=2, d=4d=4 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.

Keywords

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

R2 v1 2026-06-21T16:45:38.716Z