Faddeev-Jackiw and Canonical Analysis of the Jackiw-Teitelboim model written as a BF theory

Abstract

The Jackiw-Teitelboim model written as a BF theory in two dimensions is analyzed by using the Dirac's and Faddeev-Jackiw formalism. The analysis consists in finding the full structure of the constraints, the gauge transformations, the counting of degrees of freedom and the generalized Faddeev-Jackiw brackets. The Poincar\'e symmetry and the diffeomorphisms are found. Further, we show that the Faddeev-Jackiw and Dirac's brackets coincide to each other.