Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On Derivation of Goldman Bracket   In this paper, we obtain an infinite dimensional Lie algebra of exotic gauge
invariant observables that is closed under Goldman-type bracket associated with
monodromy matrices of flat connections on a compact Riemann surface for $G_{2}$
gauge group. As a by-product, we give an alternative derivation of known
Goldman bracket for classical gauge groups $GL(n,\mathbb{R})$,
$SL(n,\mathbb{R})$, $U(n)$, $SU(n)$, $Sp(2n,\mathbb{R})$ and $SO(n)$.

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The categories of this paper are: hep-ph
22
The categories of this paper are: chao-dyn
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
36
The categories of this paper are: cmp-lg
30
The categories of this paper are: q-alg
5
The categories of this paper are: gr-qc
27
The categories of this paper are: comp-gas
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
24
The categories of this paper are: dg-ga
28
The categories of this paper are: alg-geom
16
The categories of this paper are: stat
19
The categories of this paper are: eess