Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Separability of massive field equations for spin-0 and spin-1/2 charged
  particles in the general non-extremal rotating charged black holes in minimal
  five-dimensional gauged supergravity   We continue to investigate the separability of massive field equations for
spin-0 and spin-1/2 charged particles in the general, non-extremal, rotating,
charged, Chong-Cvetic-Lu-Pope black holes with two independent angular momenta
and a non-zero cosmological constant in minimal D = 5 gauged supergravity
theory. We show that the complex Klein-Gordon equation and the modified Dirac
equation with the inclusion of an extra counter-term can be separated by
variables into purely radial and purely angular parts in this general
Einstein-Maxwell-Chern-Simons background spacetime. A second order symmetry
operator that commutes with the complex Laplacian operator is constructed from
the separated solutions and expressed compactly in terms of a rank-2
Stackel-Killing tensor which admits a simple diagonal form in the chosen pentad
one-forms so that it can be understood as the square of a rank-3 totally
anti-symmetric tensor. A first order symmetry operator that commutes with the
modified Dirac operator is expressed in terms of a rank-3 generalized
Killing-Yano tensor and its covariant derivative. The Hodge dual of this
generalized Killing-Yano tensor is a generalized principal conformal
Killing-Yano tensor of rank-2, which can generate a `tower' of generalized
(conformal) Killing-Yano and Stackel-Killing tensors that are responsible for
the whole hidden symmetries of this general, rotating, charged, Kerr-AdS black
hole geometry. In addition, the first laws of black hole thermodynamics have
been generalized to the case that the cosmological constant can be viewed as a
thermodynamical variable.

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The categories of this paper are: eess
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The categories of this paper are: supr-con
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The categories of this paper are: plasm-ph
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: ao-sci
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The categories of this paper are: quant-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: hep-ex
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg