Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gauge theory of Gravity based on the correspondence between the $1^{st}$
  and the $2^{nd}$ order formalisms   This is a shortened version of an invited talk at the XIII International
Workshop "Lie Theory and its Applications in Physics", June 17-23, Varna,
Bulgaria. A covariant canonical gauge theory of gravity free from torsion is
studied. Using a metric conjugate momentum and a connection conjugate momentum,
which takes the form of the Riemann tensor, a gauge theory of gravity is
formulated, with form-invariant Hamiltonian. By the metric conjugate momenta, a
correspondence between the Affine-Palatini formalism and the metric formalism
is established. For, when the dynamical gravitational Hamiltonian
$\tilde{H}_{Dyn}$ does not depend on the metric conjugate momenta, a metric
compatibility is obtained from the equation of motions, and the equations of
motion correspond to the solution is the metric formalism.

19
The categories of this paper are: eess
1
The categories of this paper are: cs
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
33
The categories of this paper are: plasm-ph
4
The categories of this paper are: cond-mat
23
The categories of this paper are: solv-int
35
The categories of this paper are: mtrl-th
28
The categories of this paper are: alg-geom
8
The categories of this paper are: hep-ex
26
The categories of this paper are: bayes-an
25
The categories of this paper are: patt-sol
0
The categories of this paper are: hep-ph
6
The categories of this paper are: astro-ph
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys