Noether symmetries and isometries of the area-minimizing Lagrangian on vacuum classes of pp-waves.

In this paper, we provide the Noether symmetries with gauge fields of the area-minimizing hypersurface Lagrangian according to some vacuum classes of pp-waves. Also we show that they are elements of the Killing algebra of vacuum classes of pp-waves. Finally, we construct the conserved fields for the area-minimizing Lagrangian according to Noether's theorem. [ABSTRACT FROM AUTHOR]