We consider a general, classical theory of gravity in n dimensions, arising from a diffeomorphism invariant Lagrangian. In any such theory, to each vector field, ξ, on spacetime one can associate a local symmetry and, hence, a Noether current (n− 1)-form, j, and (for solutions to the field equations) a Noether charge (n− 2)form, Q, both of which are locally constructed from ξ and the the fields...

We derive the fully extended supersymmetry algebra carried by D-branes in a massless type IIA superspace vacuum. We find that the extended algebra contains not only topological charges that probe the presence of compact spacetime dimensions but also pieces that measure non-trivial configurations of the gauge field on the worldvolume of the brane. Furthermore there are terms that measure the cou...

The Noether currents associated with the non-linearly realized super-Poincaré symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov) action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are constructed. The R symmetry current, the supersymmetry currents, the energy-momentum tensor and the scalar central charge current are shown to be components of a world volume supercurr...

Abstract. In this work we apply the Poincare-Cartan formalism of the Classical Field Theory to study the systems of balance equations (balance systems). We introduce the partial k-jet bundles Jk p (π) of the configurational bundle π : Y → X and study their basic properties: partial Cartan structure, prolongation of vector fields, etc. A constitutive relation C of a balance system BC is realized...

The Noether currents associated with the non-linearly realized super-Poincaré symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov) action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are constructed. The R symmetry current, the supersymmetry currents, the energy-momentum tensor and the scalar central charge current are shown to be components of a world volume supercurr...

The Noether currents associated with the non-linearly realized super-Poincaré symmetries of the Green-Schwarz (Nambu-Goto-Akulov-Volkov) action for a non-BPS p=2 brane embedded in a N=1, D=4 target superspace are constructed. The R symmetry current, the supersymmetry currents, the energy-momentum tensor and the scalar central charge current are shown to be components of a world volume supercurr...

In the framework of [Formula: see text]-gravity theory, classical and quantum cosmology has been studied in this work for Friedmann Lemaitre Robertson Walker Metric (FLRW) space-time model. The Noether symmetry, a point-like symmetry Lagrangian, is used to physical system specific functional form text] determined. A point transformation 2D augmented space restricts one variables be cyclic so th...

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 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...