Download E-books The W₃ algebra: modules, semi-infinite cohomology, and BV algebras PDF

By Peter Bouwknegt, Jim McCarthy, Krzysztof Pilch

W algebras are nonlinear generalizations of Lie algebras that come up within the context of two-dimensional conformal box theories while one explores higher-spin extensions of the Virasoro algebra. they supply the underlying symmetry algebra of yes string generalizations which permit the prolonged global sheet gravity. This e-book provides such gravity theories, focusing on the algebra of actual operators made up our minds from an research of the corresponding BRST cohomology. It develops the illustration idea of W algebras had to expand the normal ideas that have been such a success in treating linear algebras. For yes strings equivalent to WN gravity we exhibit that the operator cohomology has a ordinary geometric version. This consequence indicates new instructions for the examine of W geometry.

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