Zero curvature condition and 2D gravity theories

Journal Article · Sat Jun 20 04:00:00 EDT 1992 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X92001538· OSTI ID:7184123

Das, A; Huang, W J; Roy, S ^[1]

---

1. Dept. of Physics and Astronomy, Univ. of Rochester, Rochester, NY (US)

In this paper, the authors propose interpreting the zero curvature condition associated with an integrable model as an anomaly equation. This can lead to the WZWN action and the associated current algebra quite readily and clarifies further the connections found between the integrable models and 2D gravity theories. The authors analyze, in detail, the cases SL(2,R) (KdV hierarchy), OSp(2/1) (sKdV hierarchy) and SL(3,R) (Boussinesq hierarchy) and obtain the operator product expansions of the appropriate fields. The authors also make some observations on the generalization of our method to SL(n,R).

• OSTI ID: 7184123
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 7:15; ISSN IMPAE; ISSN 0217-751X
• Country of Publication: United States
• Language: English

Related Subjects

662210* -- Specific Theories & Interaction Models
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CURRENT ALGEBRA
DIFFERENTIAL EQUATIONS
EQUATIONS
FIELD THEORIES
GRAVITATION
KORTEWEG-DE VRIES EQUATION
PARTIAL DIFFERENTIAL EQUATIONS
Pa
Particle Systematics-- Unified Theories & Models-- (1992-)
QUANTIZATION
TWO-DIMENSIONAL CALCULATIONS