STU black holes as four-qubit systems
- Department of Theoretical Physics, Institute of Physics, Budapest University of Technology, H-1521 Budapest (Hungary)
In this paper we describe the structure of extremal stationary spherically symmetric black-hole solutions in the STU model of D=4, N=2 supergravity in terms of four-qubit systems. Our analysis extends the results of previous investigations based on three qubits. The basic idea facilitating this four-qubit interpretation is the fact that stationary solutions in D=4 supergravity can be described by dimensional reduction along the time direction. In this D=3 picture the global symmetry group SL(2,R){sup x3} of the model is extended by the Ehlers SL(2,R) accounting for the fourth qubit. We introduce a four-qubit state depending on the charges (electric, magnetic, and Newman-Unti-Tamburino), the moduli, and the warp factor. We relate the entanglement properties of this state to different classes of black-hole solutions in the STU model. In the terminology of four-qubit entanglement extremal black-hole solutions correspond to nilpotent, and nonextremal ones to semisimple states. In arriving at this entanglement-based scenario the role of the four algebraically independent four-qubit SL(2,C) invariants is emphasized.
- OSTI ID:
- 21410169
- Journal Information:
- Physical Review. D, Particles Fields, Vol. 82, Issue 2; Other Information: DOI: 10.1103/PhysRevD.82.026003; (c) 2010 The American Physical Society; ISSN 0556-2821
- Country of Publication:
- United States
- Language:
- English
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