New approaches in W-gravities
نویسندگان
چکیده
We have devoted an effort to study some nonlinear actions, characteristics of the W-theories, in the framework of the soldering formalism. We have disclosed interesting new results concerning the embedding of the original chiral W-particles in different metrical spaces in the final soldered action, i.e., the metric gets modified by the soldering interference process. The results are presented in a weak field approximation for the WN case when N ≥ 3 and also in an exact way for W2. We have promoted a generalization of the interference phenomena to WN -theories of different chiralities and shown that the geometrical features introduced can yield a new understanding about the interference formalism in quantum field theories. PACS: 03.70.+k, 11.10.Ef,11.15.-q
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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 and special geometry. The anomalies that arise in quantum W-gravity are discussed, with particular attention ...
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