Compactifications of deformed conifolds, branes and the geometry of qubitsCvetič, Mirjam (Avtor) Gibbons, G. W. (Avtor) Pope, Christopher N. (Avtor) conformal field modelsstring theorymodels of quantum gravitydifferential geometryalgebraic geometryWe 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.20162017-06-27 11:28:10Znanstveno delo66458ISSN: 1029-8479UDK: 530.122.3OceCobissID: 1314148COBISS_ID: 90841857DOI: 10.1007/JHEP01(2016)135ISSN pri članku: 1029-8479NUK URN: URN:SI:UM:DK:HUK6FAX1sl