Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Dirac Equation in Kerr-NUT-(A)dS Spacetimes: Intrinsic Characterization
  of Separability in All Dimensions   We intrinsically characterize separability of the Dirac equation in
Kerr-NUT-(A)dS spacetimes in all dimensions. Namely, we explicitly demonstrate
that in such spacetimes there exists a complete set of first-order mutually
commuting operators, one of which is the Dirac operator, that allows for common
eigenfunctions which can be found in a separated form and correspond precisely
to the general solution of the Dirac equation found by Oota and Yasui
[arXiv:0711.0078]. Since all the operators in the set can be generated from the
principal conformal Killing-Yano tensor, this establishes the (up to now)
missing link among the existence of hidden symmetry, presence of a complete set
of commuting operators, and separability of the Dirac equation in these
spacetimes.

36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
3
The categories of this paper are: physics
26
The categories of this paper are: bayes-an
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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: nucl-ex
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The categories of this paper are: plasm-ph
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The categories of this paper are: hep-lat
2
The categories of this paper are: math
18
The categories of this paper are: econ
25
The categories of this paper are: patt-sol
21
The categories of this paper are: adap-org
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The categories of this paper are: supr-con
4
The categories of this paper are: cond-mat
35
The categories of this paper are: mtrl-th