Estudio de la estructura de la parte bosónica de la supergravedad en D=11

Abstract

The aim of this degree project is based on the study of supergravity in D= 11. We analize the possible connexion of supergravity with a Chern-Simons theory based on the group Osp (1/32). To this end, we will only consider the bosonic case (i.e. we will take the gravitino field equal to zero) and we will build a CS theory modified with a field given by a 3-form A. After completing this procedure we will compare the field equations of both models and observe that our CS theory reproduce the equations of supergravity in D= 11 for some selection of the parameters. Then, the role of the auxiliary field is played by the gauge fields of certain Osp (1/32) generators, that would provide evidence supporting the existence of a relation between supergravity in D= 11 with a CS theory.