Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Variational principle for the parallel-symplectic representation of
  electromagnetic gyrokinetic theory   The nonlinear (full-$f$) electromagnetic gyrokinetic Vlasov-Maxwell equations
are derived in the parallel-symplectic representation from an Eulerian
gyrokinetic variational principle. The gyrokinetic Vlasov-Maxwell equations are
shown to possess an exact energy conservation law, which is derived by Noether
method from the gyrokinetic variational principle. Here, the gyrocenter Poisson
bracket and the gyrocenter Jacobian contain contributions from the perturbed
magnetic field. In the full-$f$ formulation of the gyrokinetic Vlasov-Maxwell
theory presented here, the gyrocenter parallel-Amp\`{e}re equation contains a
second-order contribution to the gyrocenter current density that is derived
from the second-order gyrocenter ponderomotive Hamiltonian.

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The categories of this paper are: chem-ph
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The categories of this paper are: eess
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The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
18
The categories of this paper are: econ
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The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
25
The categories of this paper are: patt-sol
4
The categories of this paper are: cond-mat
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The categories of this paper are: q-alg
1
The categories of this paper are: cs
10
The categories of this paper are: q-bio