Properties of Hamiltonian symmetry flows on hyper-bolic Euler-type Liouvillean equations E ′ EL are analyzed. Description of their Noether symmetries assigned to the integrals for these equations is obtained. The integrals provide Miura transformations from E ′ EL to the multi-component wave equations E. By using these substitutions, we generate an infinite-Hamiltonian commu-tative subalgebra A...

Anomaly of discrete symmetries can be defined as the Jacobian of the path-integral measure. We assume that an anomalous discrete symmetry at low energy is remnant of an anomaly free discrete symmetry, and that its anomaly is cancelled by the Green-Schwarz (GS) mechanism at a more fundamental scale. If the Kac-Moody levels ki assume nontrivial values, the GS cancellation conditions of anomaly mo...

A generalized teleparallel cosmological model, [Formula: see text], containing the torsion scalar T and the teleparallel counterpart of the Gauss-Bonnet topological invariant [Formula: see text], is studied in the framework of the Noether symmetry approach. As [Formula: see text] gravity, where [Formula: see text] is the Gauss-Bonnet topological invariant and R is the Ricci curvature scalar, ex...