Abstract
The Hamiltonian structure and the residual symmetries of the Liouville theory in the lightcone gauge are studied. The generators of the re-parametrization symmetry are constructed and used to analyse the symmetry of the theory in the lightcone gauge, whilst the symmetry of the gauge-fixed action is studied in the light front formalism. The difference between the symmetry of the gauge-fixed theory and that of the gauge-fixed action is clarified, and the relation to the Nöther current method is established.
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