Symplectic analysis for the Holst action with Dirac fields

Abstract

In this work we review the canonical analysis of the Holst-Dirac action from the point of view of the Faddeev-Jackiw symplectic procedure using the Barcelo Neto-Wotzasek algorithm. We replicate the results found in the literature for the theory's constraints, recover some of the expressions for gauge symmetries of the main fields and perform the counting of the degrees of freedom.