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KILLING FORMS ON THE FIVE-DIMENSIONAL EINSTEIN–SASAKI Y(p, q) SPACES

Killing forms on the five-dimensional Einstein-Sasaki \(Y(p,q)\) spaces
descriptionPublicationkeyboard_double_arrow_right Article , Preprint , Other literature type 25 Nov 2012Embargo end date: 01 Jan 2012 English Publisher:World Scientific Pub Co Pte LtJournal:Modern Physics Letters A, volume 27, page 1,250,217 (issn: 0217-7323, eissn: 1793-6632, Copyright policy )
Authors: Visinescu, Mihai;

doi: 10.1142/s0217732312502173 , 10.48550/arxiv.1207.2581

arXiv: 1207.2581

KILLING FORMS ON THE FIVE-DIMENSIONAL EINSTEIN–SASAKI Y(p, q) SPACES

Abstract

We present the complete set of Killing–Yano tensors on the five-dimensional Einstein–Sasaki Y(p, q) spaces. Two new Killing–Yano tensors are identified, associated with the complex volume form of the Calabi–Yau metric cone. The corresponding hidden symmetries are not anomalous and the geodesic equations are superintegrable.

Related Organizations
Keywords

High Energy Physics - Theory, High Energy Physics - Theory (hep-th), Einstein-Sasaki spaces, FOS: Physical sciences, Kaluza-Klein and other higher-dimensional theories, Mathematical Physics (math-ph), Killing forms, metric cone, Mathematical Physics

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    selected citations
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    This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
    		 13
    popularity
    This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
    		 Average
    influence
    This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
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    impulse
    This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
13
Average
Top 10%
Top 10%
Green
bronze