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.
Universe 2017, 3(1), 12; https://doi.org/10.3390/universe3010012
Received: 1 December 2016 / Accepted: 4 February 2017 / Published: 14 February 2017
(This article belongs to the Collection Open Questions in Black Hole Physics)
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.
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Keywords:
Peccei-Quinn;U-duality; Black hole-qubit
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MDPI and ACS Style
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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