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

DIEGO JULIO CIRILO; ALESSIO MARRANI; THIAGO PRUDENCIO

Universe

MDPI AG

Lugar: Basel; Año: 2017 vol. 3

2218-1997

In a recent paper (Mod. Phys. Lett. A 2015, 30, 1550104), the black-hole/qubitcorrespondence (BHQC) was exploited to define ?black hole quantum circuits? allowing for a changeof the supersymmetry-preserving features of electromagnetic charge configurations supporting theblack 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 anotherone. On the supergravity side of BHQC, such quantum gates are related to particular symplectictransformations acting on the black hole charges; namely, such transformations cannot belong tothe U-duality group, otherwise switching among orbits would be impossible. In this paper, weconsider a particular class of such symplectic transformations, namely the ones belonging to theso-called Peccei?Quinn symplectic group, introduced some time ago within the study of very specialKähler geometries of the vector multiplets? scalar manifolds in N = 2 supergravity in D = 4spacetime dimensions.