20.500.12556/DKUM-66458 Compactifications of deformed conifolds, branes and the geometry of qubits We present three families of exact, cohomogeneity-one Einstein metrics in (2n + 2) dimensions, which are generalizations of the Stenzel construction of Ricci-flat metrics to those with a positive cosmological constant. The first family of solutions are Fubini-Study metrics on the complex projective spaces CPn+1, written in a Stenzel form, whose principal orbits are the Stiefel manifolds V-2(Rn+2) = SO(n+2)/SO(n) divided by Z(2). The second family are also Einstein-Kahler metrics, now on the Grassmannian manifolds G(2)(Rn+3) = SO(n+3)/((SO(n+1)xSO(2)), whose principal orbits are the Stiefel manifolds V-2(Rn+2) (with no Z(2) factoring in this case). The third family are Einstein metrics on the product manifolds Sn+1 x Sn+1, and are Kahler only for n = 1. Some of these metrics are believed to play a role in studies of consistent string theory compactifications and in the context of the AdS/CFT correspondence. We also elaborate on the geometric approach to quantum mechanics based on the Kahler geometry of Fubini-Study metrics on CPn+1, and we apply the formalism to study the quantum entanglement of qubits. conformal field models string theory models of quantum gravity differential geometry algebraic geometry modeli konformnega polja teorija superstrun modeli kvantne gravitacije diferencialna geometrija algebrska geometrija true false true Angleški jezik Slovenski jezik Znanstveno delo 2017-06-27 11:28:10 2017-06-27 11:29:22 2022-07-11 03:07:05 2019-07-11 15:48:13 2016 0 0 str. 1-26 št. 1 Letn. 2016 jan. 2016 0000-00-00 Zaloznikova Objavljeno NiDoloceno 0000-00-00 0000-00-00 0000-00-00 1029-8479 530.122.3 1314148 90841857 10.1007/JHEP01(2016)135 1029-8479 URN:SI:UM:DK:HUK6FAX1 Journal_of_High_Energy_Physics_2016_Cvetic,_Gibbons,_Pope_Compactifications_of_deformed_conifolds,_branes_and_the_geometry_of_qubits.pdf Journal_of_High_Energy_Physics_2016_Cvetic,_Gibbons,_Pope_Compactifications_of_deformed_conifolds,_branes_and_the_geometry_of_qubits.pdf 1 F3B524E9EBDDD370A77B578BBB6391A0 6f6ae9cb2a3114f5e4edee2b5c525612a086836ac6388eb951970cce23c56463 4e0dd6fb-7c0e-11eb-bb7a-00155d0001ca https://dk.um.si/Dokument.php?lang=slv&id=113182 http://link.springer.com/10.1007/JHEP04(2014)010 1 https://dk.um.si/Dokument.php?lang=slv&id=113181 Univerza v Mariboru 0 0 0