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Universe 2017, 3(1), 12; doi:10.3390/universe3010012

Peccei–Quinn Transformations and Black Holes: Orbit Transmutations and Entanglement Generation

1
Coordination of Science & Technology (CCCT/BICT), Universidade Federal do Maranhão (UFMA), Sao Luís-MA 65080-805, Brazil
2
Museo Storico della Fisica e Centro Studi e Ricerche “Enrico Fermi”, Via Panisperna 89A, Roma I-00184, Italy
3
Dipartimento di Fisica e Astronomia “Galileo Galilei”, Università di Padova, and INFN, Sez. di Padova, Via Marzolo 8, Padova I-35131, Italy
4
National Institute of Plasma Physics (INFIP), Consejo Nacional de Investigaciones Científicas y Tecnicas (CONICET), Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, Cuidad Universitaria, Buenos Aires 1428, Argentina
5
Bogoliubov Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, Dubna-Moscow 141980, Russia
*
Author to whom correspondence should be addressed.
Received: 1 December 2016 / Accepted: 4 February 2017 / Published: 14 February 2017
(This article belongs to the Collection Open Questions in Black Hole Physics)
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Abstract

In a recent paper (Mod. Phys. Lett. A 2015, 30, 1550104), the black-hole/qubit correspondence (BHQC) was exploited to define “black hole quantum circuits” allowing for a change of the supersymmetry-preserving features of electromagnetic charge configurations supporting the black hole solution. This resulted in switching from one U-duality orbit to another, or equivalently, from an element of the corresponding Freudenthal triple system with a definite rank to another one. On the supergravity side of BHQC, such quantum gates are related to particular symplectic transformations acting on the black hole charges; namely, such transformations cannot belong to the U-duality group, otherwise switching among orbits would be impossible. In this paper, we consider a particular class of such symplectic transformations, namely the ones belonging to the so-called Peccei–Quinn symplectic group, introduced some time ago within the study of very special Kähler geometries of the vector multiplets’ scalar manifolds in N = 2 supergravity in D =4 spacetime dimensions. View Full-Text
Keywords: Peccei-Quinn;U-duality; Black hole-qubit Peccei-Quinn;U-duality; Black hole-qubit
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Prudêncio, T.; Marrani, A.; Cirilo-Lombardo, D.J. Peccei–Quinn Transformations and Black Holes: Orbit Transmutations and Entanglement Generation. Universe 2017, 3, 12.

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