Liouville realizations of W sub infinity -algebras

Journal Article · Fri May 10 04:00:00 EDT 1991 · Modern Physics Letters A; (Singapore)

DOI:https://doi.org/10.1142/S0217732391001354· OSTI ID:5169269

Bellucci, S ^[1]; Ivanov, E ^[2]

---

1. INFN-Lab. Nazionali di Frascati, P.O. Box 13, I-00044 Frascati (IT)
2. JINR-Lab. of Theoretical Physics, Head Post Office, P.O. Box 79, 101 000 Moscow (SU)

The authors study the classical field-theoretical realizations of W-algebras in the system of two bosonic fields with the Liouville self-interaction. This system may be important for non-critical W-strings and W-gravity. In this paper the combined W{sub {infinity}} + w{sub {infinity}} transformations which leave the action invariant are found and their group structure is analyzed. The invariance algebra involves Zamolodchikov's W{sub 3}-algebra as a nonlinear subalgebra.

• OSTI ID: 5169269
• Journal Information: Modern Physics Letters A; (Singapore), Journal Name: Modern Physics Letters A; (Singapore) Vol. 6:14; ISSN 0217-7323; ISSN MPLAE
• Country of Publication: United States
• Language: English

Related Subjects

662110* -- General Theory of Particles & Fields-- Theory of Fields & Strings-- (1992-)
662120 -- General Theory of Particles & Fields-- Symmetry
Conservation Laws
Currents & Their Properties-- (1992-)
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
BOSONS
CLASSICAL MECHANICS
COMPOSITE MODELS
EXTENDED PARTICLE MODEL
FIELD THEORIES
INVARIANCE PRINCIPLES
LIOUVILLE THEOREM
MATHEMATICAL MODELS
MECHANICS
NONLINEAR PROBLEMS
PARTICLE MODELS
QUARK MODEL
STRING MODELS
SUPERSYMMETRY
SYMMETRY