Description
"Symmetries can preserve some physical properties". In the talk it will be emphasized how the symmetries of the theory can prevent physical properties which one can expected. In particular the Holst action with enlarged symmetries as well as a matter coupling will be discussed. The MacDowell-Mansuri construction will be used as a nice mathematical method to add extra symmetries like supersymmetry or Maxwell-AdS symmetry. By this construction the gravitino field or constant electromagnetic filed will be introduced. Also an another matter fields will be added to Holst action. It will be shown that as a consequences of use the supersymmetry, the Immirzi parameter does not occur in classical dynamics.
