Classical and Quantum W-Gravity

Details Classical and Quantum W-Gravity Classical and Quantum W-Gravity

1992-01-28

arxiv.org/abs/hep-th/9201057v2

Physics

High Energy Physics

High Energy Physics - Theory

54 pages

Scientific paper

Classical W-gravities and the corresponding quantum theories are reviewed. W-gravities are higher-spin gauge theories in two dimensions whose gauge algebras are W-algebras. The geometrical structure of classical W-gravity is investigated, leading to surprising connections with self-dual geometry. The anomalies that arise in quantum W-gravity are discussed, with particular attention to the new types of anomalies that arise for non-linearly realised symmetries and to the relation between path-integral anomalies and non-closure of the quantum current algebra. Models in which all anomalies are cancelled by ghost contributions lead to new generalisations of string theories.

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