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Comments on the hidden symmetries of the spinning point particle in Kerr-Newman, D = 5 minimal gauged supergravity and higher dimensional spacetimes with Killing-Yano torsion

2011/08/22 by C. Rugina, Rugina, C.
Physics and Astronomy · #Black Holes and Theoretical Physics #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Noncommutative and Quantum Gravity Theories #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1108.4388

14 pages; minor corrections and changes; 2 references added; withdrawn since the author doesn't believe anymore that the paper is correct

openalex publication_date 2011/08/22 · arxiv created 2014/08/15 · arxiv updated 2014/08/18 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

We investigate the hidden symmetries of the Kerr-Newman, of the D=5 minimal gauged supergravity which admits a Killing-Maxwell system in the sense of Carter and of higher dimensional spacetimes in the presence of Killing-Yano torsion. We note that when an electromagnetic tensor is present and an associated Killing-Maxwell system can be constructed in the sense of Carter, the Killing- Maxwell field becomes a PCKY (primary conformal Killing-Yano) tensor or a PGCKY (primary generalized conformal Killing-Yano) tensor, the latter in the presence of torsion. We point out the structure of the Dirac-type operators of the spinning point particle in arbitrary- dimensional spacetimes with torsion, focusing on the case when torsion can be assimilated with a Killing-Yano tensor and these spacetimes are endowed with towers of Killing-Yano tensors, and hence we show the anomalies of these additional supersymmetries cancel out in this particular case.

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