BRST-Antibracket Cohomology in 2D Conformal Gravity

Abstract

We present results of a computation of the BRST-antibracket cohomology in the space of local functionals of the fields and antifields for a class of 2d gravitational theories which are conformally invariant at the classical level. In particular all classical local action functionals, all candidate anomalies and all BRST--invariant functionals depending nontrivially on antifields are given and discussed for these models.

14 pages, LaTex, NIKHEF-H 94-16, KUL-TF-94/17, to appear in the proceedings of the `Geometry of Constrained Dynamical Systems' workshop, Isaac Newton Institute for Mathematical Sciences, Cambridge, June 15--18, 1994