The central charge for the Seiberg-Witten low-energy effective Action is computed using Noether supercharges. A reliable method to construct supersymmetric Noether currents is presented. PACS numbers: 11.30.Pb , 11.30.-j , 12.60.Jv , 11.10.Ef The electromagnetic duality of Seiberg-Witten [1] relies heavily on the BPS mass-formula M = |Z| where Z = (nea+ nmaD) (1) is the topological central char...

The Noether current and its variation relation with respect to diffeomorphism invariance of gravitational theories have been derived from the horizontal variation and vertical-horizontal bi-variation of the Lagrangian, respectively. For Einstein’s GR in the stationary, axisymmetric black holes, the mass formula in vacuum can be derived from this Noether current although it definitely vanishes. ...

We apply the Noether Symmetry Approach to point-like teleparallel Lagrangians in view derive minisuperspaces suitable for Quantum Cosmology. Adopting Arnowitt-Deser-Misner formalism, we find out related Wave Functions of Universe. Specifically, by means appropriate changes variables suggested existence symmetries, it is possible obtain cosmological Hamiltonians whose solutions are classical tra...