The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter

Details The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter The BRST--antibracket cohomology of $2d$ gravity conformally coupled to scalar matter

1995-09-07

arxiv.org/abs/hep-th/9509035v2

Nucl.Phys. B464 (1996) 353-408

Physics

High Energy Physics

High Energy Physics - Theory

52 pages, LaTeX. Minor changes, to be published in Nucl. Phys

Scientific paper

10.1016/0550-3213(96)00030-2

We compute completely the BRST--antibracket cohomology on local functionals in two-dimensional Weyl invariant gravity for given classical field content (two dimensional metric and scalar matter fields) and gauge symmetries (two dimensional diffeomorphisms and local Weyl transformations). This covers the determination of all classical actions, of all their rigid symmetries, of all background charges and of all candidate gauge anomalies. In particular we show that the antifield dependence can be entirely removed from the anomalies and that, if the target space has isometries, the condition for the absence of matter field dependent Weyl anomalies is more general than the familiar `dilaton equations'.

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