Hidden symmetries in Sasaki–Einstein geometries
- Авторы: Slesar V.1, Visinescu M.2, Vîlcu G.E.3,4
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Учреждения:
- Department of Mathematical Methods and Models
- Department of Theoretical Physics
- Department of Cybernetics and Economic Informatics
- Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra
- Выпуск: Том 80, № 4 (2017)
- Страницы: 801-807
- Раздел: Elementary Particles and Fields
- URL: https://journals.rcsi.science/1063-7788/article/view/192394
- DOI: https://doi.org/10.1134/S106377881704024X
- ID: 192394
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Аннотация
We describe a method for constructing Killing–Yano tensors on Sasaki spaces using their geometrical properties, without the need of solving intricate generalized Killing equations. We obtain the Killing–Yano tensors on toric Sasaki–Einstein spaces using the fact that the metric cones of these spaces are Calabi–Yau manifolds which in turn are described in terms of toric data. We extend the search of Killing–Yano tensors on mixed 3-Sasakian manifolds. We illustrate the method by explicit construction of Killing forms on some spaces of current interest.
Об авторах
V. Slesar
Department of Mathematical Methods and Models
Автор, ответственный за переписку.
Email: vladimir.slesar@upb.ro
Румыния, Bucharest
M. Visinescu
Department of Theoretical Physics
Email: vladimir.slesar@upb.ro
Румыния, Magurele
G. Vîlcu
Department of Cybernetics and Economic Informatics; Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra
Email: vladimir.slesar@upb.ro
Румыния, Bucharest; Bucharest, 060042
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