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Killing(-Yano) Tensors in String Theory

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arxiv 1505.06154 v3 pith:YP6GVXYG submitted 2015-05-22 hep-th gr-qc

Yuri Chervonyi , Oleg Lunin This is my paper · ORCID
classification hep-thgr-qc
keywords killingtensorsyanodimensionsstringblackchargedconserved
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We construct the Killing(-Yano) tensors for a large class of charged black holes in higher dimensions and study general properties of such tensors, in particular, their behavior under string dualities. Killing(-Yano) tensors encode the symmetries beyond isometries, which lead to insights into dynamics of particles and fields on a given geometry by providing a set of conserved quantities. By analyzing the eigenvalues of the Killing tensor, we provide a prescription for constructing several conserved quantities starting from a single object, and we demonstrate that Killing tensors in higher dimensions are always associated with ellipsoidal coordinates. We also determine the transformations of the Killing(-Yano) tensors under string dualities, and find the unique modification of the Killing-Yano equation consistent with these symmetries. These results are used to construct the explicit form of the Killing(-Yano) tensors for the Myers-Perry black hole in arbitrary number of dimensions and for its charged version.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. New rotating Lorentzian wormhole spacetime

    gr-qc 2024-11 conditional novelty 6.0 of 10

    A new three-parameter rotating wormhole spacetime is constructed and shown to have a regular throat, an asymptotically Kerr limit, and a shadow compatible with some EHT constraints.

  2. Brane Symmetries Revisited: Symmetries of Tensile and Tensionless Branes in Possibly Degenerate Metrics and their Manifestations

    hep-th 2025-12 conditional novelty 5.0 of 10

    Tensionless p-branes and branes in degenerate-metric spacetimes admit symmetry transformations built from Killing tensors of arbitrary rank, extending string W-symmetries to all brane dimensions.

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