BRST-Antibracket Cohomology in 2D Conformal Gravity

TL;DR

This paper computes the BRST-antibracket cohomology for 2D conformal gravity, identifying all classical actions, potential anomalies, and BRST-invariant functionals involving antifields, advancing understanding of quantum consistency conditions.

Contribution

It provides a comprehensive calculation of the BRST-antibracket cohomology in 2D conformal gravity, detailing all relevant local functionals and anomalies, which was previously unexplored.

Findings

All classical local action functionals identified

Candidate anomalies explicitly characterized

BRST-invariant functionals involving antifields analyzed

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.