Additional symmetries and exactly solvable models in two-dimensional conformal field theory
著者
書誌事項
Additional symmetries and exactly solvable models in two-dimensional conformal field theory
（Soviet scientific reviews, section A . Physics reviews ; v. 15,
Harwood Academic Publishers, 1990
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- Part 1 Quantization of Hamiltonian structures: oscillator representation of the virasoro algebra and the second Hamiltonian structure of the KdV equation
- classical Hamiltonian structures associated with finite lie algebras
- quantization of classical Hamiltonian structures. Part 2 W-algebra representations: degenate modules of a virasoro algebra
- highest vector representations and strongly degenerate W-algebra modules
- characters and modular invariants of strongly degenerate representations of the WAn-1 and WDn algebras. Part 3 Minimal models: operator algebra and correlation functions of strongly degenerate W-algebra fields
- minimal models
- perturbation of minimal models.
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