| Title: | Compactifications of deformed conifolds, branes and the geometry of qubits |
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| Authors: | ID Cvetič, Mirjam (Author)
ID Gibbons, G. W. (Author)
ID Pope, Christopher N. (Author) |
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| Files: |  Journal_of_High_Energy_Physics_2016_Cvetic,_Gibbons,_Pope_Compactifications_of_deformed_conifolds,_branes_and_the_geometry_of_qubits.pdf (586,14 KB)
MD5: F3B524E9EBDDD370A77B578BBB6391A0
 http://link.springer.com/10.1007/JHEP04(2014)010
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| Language: | English |
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| Work type: | Scientific work |
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| Typology: | 1.01 - Original Scientific Article |
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| Organization: | UM - University of Maribor
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| Abstract: | 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. |
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| Keywords: | conformal field models, string theory, models of quantum gravity, differential geometry, algebraic geometry |
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| Publication status: | Published |
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| Publication version: | Version of Record |
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| Year of publishing: | 2016 |
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| Number of pages: | str. 1-26 |
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| Numbering: | Letn. 2016, št. 1 |
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| PID: | 20.500.12556/DKUM-66458  |
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| ISSN: | 1029-8479 |
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| UDC: | 530.122.3 |
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| ISSN on article: | 1029-8479 |
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| COBISS.SI-ID: | 90841857 |
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| DOI: | 10.1007/JHEP01(2016)135 |
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| NUK URN: | URN:SI:UM:DK:HUK6FAX1 |
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| Publication date in DKUM: | 27.06.2017 |
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| Views: | 1672 |
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| Downloads: | 424 |
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| Metadata: |    |
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| Categories: | Misc.
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