20.500.12556/DKUM-89550 Separability of the Dirac equation in the STU black hole spacetime Pairwise-equal charge case study We study the separability of the Dirac equation in the background of four dimensional charged rotating asymptotically flat black hole solution of supergravity and the low energy string theory known as STU black hole. In particular, we analyze in detail the separability conditions in the pairwise equal charge STU black hole space-time [M. Cvetič and D. Youm, Phys. Rev. D 54, 2612 (1996).]. While in the latter case the minimally coupled Dirac equation is not separable, the introduction of a specific torsion term ensures the separability. The source of the torsion is the Kalb-Ramond field, which is an integral part of string theory, but further aspects of its properties and coupling to fermionic fields remain to be studied. To derive the torsion, two different approaches are used in conformally related frames, showing that the torsion is not unique. The correspondingly modified Dirac equations in the Einstein and string frames are shown to be separable. Furthermore, the massless radial and angular wave equations are examined; they show close similarity with corresponding equations for the standard Kerr background. A generalization of the Teukolsky equation for the pairwise equal case is conjectured. We also briefly analyze a technically sophisticated radial equation in the massive case. quantum fields of spacetime supergravity curved spacetime Dirac equation kvantna polja prostor-časa supergravitacija ukrivljeni prostor-čas Diracova enačba true false true American Physical Society Angleški jezik Slovenski jezik Znanstveno delo 2024-07-19 13:21:56 2024-07-19 13:35:02 2024-07-20 04:06:54 0000-00-00 00:00:00 2023 0 0 Str- 1-21 Št. 8, št. članka 085020 Letn. 108 2023 0000-00-00 Zaloznikova Objavljeno NiDoloceno 2023-08-15 2023-09-24 2023-10-25 530.145 192745987 10.1103/PhysRevD.108.085020 2470-0029 Cveti-2023-Separability_of_the_Dirac_equation.pdf Cveti-2023-Separability_of_the_Dirac_equation.pdf 1 CCC836C69CE677CB4C14EE95755ADFA3 4a0234194c8662417f7c55d5fb5ca73acb06f8612ce9c3910f18ae1c48915ff0 bbc382f6-45c2-11ef-8d11-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=181647 https://doi.org/10.1103/PhysRevD.108.085020 0 233791f4-45c1-11ef-8d11-00155d000105 https://dk.um.si/Dokument.php?lang=slv&id=181646 Univerza v Mariboru 0 0 0