Exact solutions, symmetries and quantization of two-dimensional higher-derivative gravity with dynamical torsion

Abstract

We investigate two-dimensional higher derivative gravitational theories in a Riemann-Cartan framework and obtain the most general static black hole solutions in conformal coordinates. We also consider the hamiltonian formulation of the theory and discuss its symmetries, showing they are implemented by a non-linear generalizations of the 2-dimensional Poincaré algebra. Finally, we discuss the quantization in the Dirac formalism.