Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On symmetry operators for the Maxwell equation on the Kerr-NUT-(A)dS
  spacetime   We focus on the method recently proposed by Lunin and
Frolov-Krtou\v{s}-Kubiz\v{n}\'{a}k to solve the Maxwell equation on the
Kerr-NUT-(A)dS spacetime by separation of variables. In their method, it is
crucial that the background spacetime has hidden symmetries because they
generate commuting symmetry operators with which the separation of variables
can be achieved. In this work we reproduce these commuting symmetry operators
in a covariant fashion. We first review the procedure known as the
Eisenhart-Duval lift to construct commuting symmetry operators for given
equations of motion. Then we apply this procedure to the
Lunin-Frolov-Krtou\v{s}-Kubiz\v{n}\'{a}k (LFKK) equation. It is shown that the
commuting symmetry operators obtained for the LFKK equation coincide with the
ones previously obtained by Frolov-Krtou\v{s}-Kubiz\v{n}\'{a}k, up to
first-order symmetry operators corresponding to Killing vector fields. We also
address the Teukolsky equation on the Kerr-NUT-(A)dS spacetime and its symmetry
operator is constructed.

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The categories of this paper are: eess
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The categories of this paper are: adap-org
16
The categories of this paper are: stat
9
The categories of this paper are: nlin
1
The categories of this paper are: cs
29
The categories of this paper are: funct-an
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The categories of this paper are: supr-con
18
The categories of this paper are: econ
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
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The categories of this paper are: hep-th
27
The categories of this paper are: comp-gas
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The categories of this paper are: dg-ga
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The categories of this paper are: patt-sol
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The categories of this paper are: nucl-th
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The categories of this paper are: q-fin