Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Spin-1 duality in $D$-dimensions   It is known that the Maxwell theory in $D$ dimensions can be written in a
first order form (in derivatives) by introducing a totally antisymmetric field
which leads to a $(D-3)$-form dual theory. Remarkably, one can replace the
antisymmetric field by a symmetric rank two tensor ($W_{\mu\nu}=W_{\nu\mu}$).
Such master action establishes the duality between the Maxwell-theory and a
fourth order higher rank model in a $D$-dimensional flat space time. A naive
generalization to the curved space shows a connection between the recently
found D=4 critical gravity and the Maxwell theory plus a coupling term to the
Ricci tensor ($R_{\mu\nu}A^{\mu}A^{\nu}$). The mass of the spin-1 particle
which appears in the D=4 critical gravity linearized around anti-de Sitter
space is the same one obtained from the Ricci coupling term. We also work out,
in flat space time, the explicitly massive case (Maxwell-Proca) which is dual
to a second order theory for $W_{\mu\nu}$.

26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
9
The categories of this paper are: nlin
34
The categories of this paper are: chem-ph
3
The categories of this paper are: physics
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
0
The categories of this paper are: hep-ph
17
The categories of this paper are: q-fin
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
6
The categories of this paper are: astro-ph
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math