El objetivo central de esta Tesis es estudiar simetrías en diferentes sistemas físicos usando álgebras de Lie e invariantes topológicos conocidos como formas Chern- Simons. Esta Tesis consiste de dos partes. La primera ...

This thesis deals with a geometrical formulation of diverse Supergravity theories. In particular, the construction of Supergravity actions in four and three dimensions are considered in di erent frameworks with interesting ...