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This volume, in three parts, reviews the construction of new exactly solvable models of two-dimensional conformal field theory. In Part 1, quantization of Hamiltonian structures, the symmetry algebras of these models (W-algebras) are constructed by quantization of classical Hamiltonian structures of generalized KdV equations. These algebras can be represented in the Fock space and are naturally connected with simple lie algebras An-1, Bn, Dn. Part 2 describes the strongly degenerate representations of Wan-1 and WDn algebras are also calculated and their modular properties are investigated. In Part 3 the integral representation for the correlation functions of strongly degenerate fields and the "minimal" models of W-invariant field theory are constructed.
Publisher: Harwood-Academic Publishers
Number of pages: 117
Weight: 454 g
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