## On Derivation of Goldman Bracket

15 Jan 2016  ·  Chowdhury S. Hasibul Hassan ·

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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