The effective action of W_3-gravity

Abstract

A new method for integrating anomalous Ward identities and finding the effective action is proposed. Two-dimensional supergravity and $W_3$-gravity are used as examples to demonstrate its potential. An operator is introduced that associates each physical quantity with a Ward identity, i.e., a quantity that is transformed without anomalous terms and can be nullified in a consistent manner. A covariant form of the action for matter field interacting with a gravitational and $W_3$-gravitational background is proposed.

Final version for publication, 17 pages, LaTeX file

References in corpus (3)

• Area-preserving structure of 2d-gravity
• A geometrical interpretation of classical W-transformations
• Area-Preserving Algebra Structure of Two-Dimensional Supergravity