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The reparametrization algebra in one dimension and some of its generalizations are studied by applying certain developments on formal integration of infinitesimal gauge transformations. The closure of these algebras is related to the finite form of the reparametrizations; more precisely, to its dependence on the flow of the infinitesimal reparametrization function. The same arguments are extended to the case of N=1 superconformal symmetry.
Gràcia et al. (Thu,) studied this question.