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SIGMA, 2012, Volume 8, 058, 15 pages (Mi sigma735)  

This article is cited in 17 scientific papers (total in 17 papers)

Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits

Mihai Visinescua, Gabriel Eduard Vîlcubc

a National Institute for Physics and Nuclear Engineering, Department of Theoretical Physics, P.O. Box M.G.-6, Magurele, Bucharest, Romania
b Petroleum-Gas University of Ploieşti, Department of Mathematical Economics, Bulevardul Bucureşti, Nr. 39, Ploieşti 100680, Romania
c University of Bucharest, Faculty of Mathematics and Computer Science, Research Center in Geometry, Topology and Algebra, Str. Academiei, Nr. 14, Sector 1, Bucharest 70109, Romania

Abstract: The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein–Sasaki ones. The complete set of Killing–Yano tensors of the Einstein–Sasaki spaces are presented. For this purpose the Killing forms of the Calabi–Yau cone over the Einstein–Sasaki manifold are constructed. Two new Killing forms on Einstein–Sasaki manifolds are identified associated with the complex volume form of the cone manifolds. Finally the Killing forms on mixed 3-Sasaki manifolds are briefly described.

Keywords: Killing forms; Einstein–Sasaki space; Calabi–Yau spaces.

DOI: https://doi.org/10.3842/SIGMA.2012.058

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Full text: http://emis.mi.ras.ru/.../058
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Bibliographic databases:

ArXiv: 1205.6036
MSC: 53C15; 53C25; 81T20
Received: May 29, 2012; in final form July 23, 2012; Published online August 27, 2012
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Citation: Mihai Visinescu, Gabriel Eduard Vîlcu, “Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits”, SIGMA, 8 (2012), 058, 15 pp.

Citation in format AMSBIB
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\by Mihai Visinescu, Gabriel Eduard V{\^\i}lcu
\paper Hidden symmetries of Euclideanised Kerr-NUT-(A)dS metrics in certain scaling limits
\jour SIGMA
\yr 2012
\vol 8
\papernumber 058
\totalpages 15
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\crossref{https://doi.org/10.3842/SIGMA.2012.058}
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    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Visinescu M., “Killing Forms on the Five-Dimensional Einstein-Sasaki Y(P,Q) Spaces”, Mod. Phys. Lett. A, 27:37 (2012)  crossref  mathscinet  zmath  isi  scopus
    2. Vilcu G.E., “Mixed Paraquaternionic 3-Submersions”, Indag. Math.-New Ser., 24:2 (2013), 474–488  crossref  mathscinet  zmath  isi  scopus
    3. Cariglia M., Frolov V.P., Krtous P., Kubiznak D., “Geometry of Lax Pairs: Particle Motion and Killing-Yano Tensors”, Phys. Rev. D, 87:2 (2013), 024002  crossref  adsnasa  isi  elib  scopus
    4. Visinescu M., “Hidden Symmetries on Kerr-Nut-(a)Ds Metrics of Einstein-Sasaki Type”, XXth International Conference on Integrable Systems and Quantum Symmetries, Journal of Physics Conference Series, 411, eds. Burdik C., Navratil O., Posta S., IOP Publishing Ltd, 2013, 012030  crossref  isi  scopus
    5. Houri Ts., Takeuchi H., Yasui Yu., “A Deformation of Sasakian Structure in the Presence of Torsion and Supergravity Solutions”, Class. Quantum Gravity, 30:13 (2013), 135008  crossref  mathscinet  adsnasa  isi  scopus
    6. Visinescu M., “Hidden Symmetries of Sasaki-Einstein Metrics on S-2 X S-3”, Tim 2012 Physics Conference, AIP Conf. Proc., 1564, eds. Bunoiu M., Biris C., Avram N., Amer. Inst. Phys., 2013, 10–15  crossref  isi  scopus
    7. Visinescu M., “Killing Forms on 5D Sasaki-Einstein Spaces”, Rom. J. Phys., 58:5-6 (2013), 675–682  mathscinet  isi
    8. Visinescu, M., “Killing forms on Kerr-NUT-(A)dS spaces of Einstein–Sasaki type”, Journal of Geometry and Symmetry in Physics, 30 (2013), 93–104  crossref  mathscinet  zmath  scopus
    9. Slesar V., Visinescu M., Vilcu G.E., “Special Killing Forms on Toric Sasaki-Einstein Manifolds”, Phys. Scr., 89:12 (2014), 125205  crossref  adsnasa  isi  scopus
    10. Slesar V., Visinescu M., Vilcu G.E., “Killing Forms and Toric Sasaki-Einstein Spaces”, Xxii international conference on integrable systems and quantum symmetries (isqs-22), Journal of Physics Conference Series, 563, eds. Burdik C., Navratil O., Posta S., IOP Publishing Ltd, 2014, 012033  crossref  isi  scopus
    11. Visinescu M., “Special Killing Forms on Toric Sasaki-Einstein Spaces”, Tim 2013 Physics Conference, AIP Conf. Proc., 1634, eds. Bunoiu O., Avram N., Popescu A., Amer. Inst. Phys., 2014, 24–29  crossref  isi
    12. Babalic E.M., Visinescu M., “Complete Integrability of Geodesic Motion in Sasaki-Einstein Toric Yp,Q Spaces”, Mod. Phys. Lett. A, 30:33 (2015), 1550180  crossref  mathscinet  zmath  adsnasa  isi  scopus
    13. Slesar V., Visinescu M., Vilcu G.E., “Hidden Symmetries on Toric Sasaki-Einstein Spaces”, EPL, 110:3 (2015), 31001  crossref  mathscinet  adsnasa  isi  scopus
    14. Visinescu M., “Complete Integrability of Geodesics in Toric Sasaki-Einstein Spaces”, Xxiii International Conference on Integrable Systems and Quantum Symmetries (Isqs-23), Journal of Physics Conference Series, 670, eds. Burdik C., Navratil O., Posta S., IOP Publishing Ltd, 2016, UNSP 012051  crossref  mathscinet  isi  scopus
    15. M. Visinescu, “Contact Hamiltonian systems and complete integrability”, Tim17 Physics Conference, AIP Conf. Proc., 1916, ed. D. Vizman, A. Popescu, Amer. Inst. Phys., 2017, UNSP 020002  crossref  isi  scopus
    16. V. Slesar, M. Visinescu, G. E. Vilcu, “Hidden symmetries in Sasaki–Einstein geometries”, Phys. Atom. Nuclei, 80:4 (2017), 801–807  crossref  isi  scopus
    17. Visinescu M., “Sasaki-Ricci Flow on Sasaki-Einstein Space T-1;1 and Deformations”, Int. J. Mod. Phys. A, 33:34, SI (2018), 1845014  crossref  mathscinet  zmath  isi  scopus
  • Symmetry, Integrability and Geometry: Methods and Applications
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