Quaternionic Kahler metrics associated with special Kahler manifolds

• Autoři: ALEKSEEVSKY Dmitry; CORTÉS SUAREZ Vicente; DYCKMANNS Malte; MOHAUPT Thomas
• Rok publikování: 2015
• Druh: Článek v odborném periodiku
• Časopis / Zdroj: Journal of Geometry and Physics
• Fakulta / Pracoviště MU: Přírodovědecká fakulta
• www: Full Text
• Doi: http://dx.doi.org/10.1016/j.geomphys.2014.12.012
• Obor: Obecná matematika
• Klíčová slova: Quaternionic Kahler manifolds; c-map; Ferrara-Sabharwal metric; One-loop deformation; HK/QK correspondence
• Popis: We give an explicit formula for the quaternionic Kahler metrics obtained by the HK/QK correspondence. As an application, we give a new proof of the fact that the Ferrara-Sabharwal metric as well as its one-loop deformation is quaternionic Kahler. A similar explicit formula is given for the analogous (K/K) correspondence between Kahler manifolds endowed with a Hamiltonian Killing vector field. As an example, we apply this formula in the case of an arbitrary conical Kahler Manifold. (C) 2015 Elsevier B.V. All rights reserved.

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• Algebraické metody v geometrii s potenciálem k aplikacím