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

Abstract

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'.

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

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Cited by in corpus (16)

• Local BRST cohomology in gauge theories
• First order parent formulation for generic gauge field theories
• BRST and Anti-BRST Symmetries in Perturbative Quantum Gravity
• Noncommutative Quantum Gravity
• Finite field-dependent symmetries in perturbative quantum gravity
• Perturbative Quantum Gravity on Complex Spacetime
• A derivation of Weyl gravity
• The effective theory of strings
• Perturbative quantum gravity in Batalin-Vilkovisky formalism
• The rigid symmetries of bosonic D-strings
• Cohomological analysis of bosonic D-strings and 2d sigma models coupled to abelian gauge fields
• BRST Cohomology and Renormalizability of Quantum Gravity near Two Dimensions
• Consistent gravitational anomalies for chiral bosons
• Actions and symmetries of NSR superstrings and D-strings
• BV analysis of Polyakov and Nambu-Goto theories with boundary
• Kodaira-Spencer Anomalies with Stora-Zumino Method