Quantum Hamiltonian reduction and WB algebra

Journal Article · Mon Aug 10 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92002210· OSTI ID:6851715

Ito, K ^[1]

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1. Niels Bohr Inst., Copenhagen (Denmark)

In this paper, the authors study the quantum Hamiltonian reduction of affine Lie algebras and the free field realization of the associated W algebra. For the nonsimply laced case this reduction does not agree with the usual coset construction of the W minimal model. In particular, the authors find that the coset model (B[sub n][sup (1)])k [times] (B[sub n][sup (1)])1/(B[sub n][sup (1)])[sub k = 1] can be obtained through the quantum Hamiltonian reduction of the affine Lie superalgebra B(O,n)[sup (1)]. To show this the authors also construct the Feigin-Fuchs representation of affine Lie superalgebras.

• OSTI ID: 6851715
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:20; ISSN IMPAEF; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

661100* -- Classical & Quantum Mechanics-- (1992-)
662110 -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ALGEBRA
CURRENT ALGEBRA
FIELD THEORIES
HAMILTONIANS
IRREDUCIBLE REPRESENTATIONS
LIE GROUPS
MATHEMATICAL OPERATORS
MATHEMATICS
MECHANICS
QUANTUM MECHANICS
QUANTUM OPERATORS
SUPERSYMMETRY
SYMMETRY
SYMMETRY GROUPS