Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Generalized SU(2) Proca theory reconstructed and beyond   As a modified gravity theory that introduces new gravitational degrees of
freedom, the generalized SU(2) Proca theory (GSU2P for short) is the
non-Abelian version of the well-known generalized Proca theory where the action
is invariant under global transformations of the SU(2) group. This theory was
formulated for the first time in Phys. Rev. D 94 (2016) 084041, having
implemented the required primary constraint-enforcing relation to make the
Lagrangian degenerate and remove one degree of freedom from the vector field in
accordance with the irreducible representations of the Poincar\'e group. It was
later shown in Phys. Rev. D 101 (2020) 045008, ibid 045009, that a secondary
constraint-enforcing relation, which trivializes for the generalized Proca
theory but not for the SU(2) version, was needed to close the constraint
algebra. It is the purpose of this paper to implement this secondary
constraint-enforcing relation in GSU2P and to make the construction of the
theory more transparent. Since several terms in the Lagrangian were dismissed
in Phys. Rev. D 94 (2016) 084041 via their equivalence to other terms through
total derivatives, not all of the latter satisfying the secondary
constraint-enforcing relation, the work was not so simple as directly applying
this relation to the resultant Lagrangian pieces of the old theory. Thus, we
were motivated to reconstruct the theory from scratch. In the process, we found
the beyond GSU2P.

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The categories of this paper are: chao-dyn
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The categories of this paper are: math-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: acc-phys
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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
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The categories of this paper are: bayes-an
6
The categories of this paper are: astro-ph
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The categories of this paper are: econ
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The categories of this paper are: nucl-ex
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The categories of this paper are: mtrl-th
4
The categories of this paper are: cond-mat
37
The categories of this paper are: supr-con
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The categories of this paper are: q-bio
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph