The effective action of W_3-gravity

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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Final version for publication, 17 pages, LaTeX file

Scientific paper

10.1134/1.558239

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.

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