Screening currents in free-field representations of Kac-Moody algebras

Journal Article · Mon Sep 30 00:00:00 EDT 1991 · International Journal of Modern Physics A; (United States)

DOI:https://doi.org/10.1142/S0217751X91002057· OSTI ID:5480157

Bougourzi, A H; Ho-Kim, Q; Kikuchi, Y; Lam, C S ^[1]

---

1. Dept. of Physics, McGill Univ., Montreal, Quebec, H3A 2T8 (CA)

In this paper a general procedure is presented whereby screening currents of the vertex type can be constructed from any Kac-Moody algebra in free-field representation. This method is applied to sl(n) and sp(4), where explicit free-field representations for the Kac-Moody algebra are available. In this way the authors obtain for the first time the correct form of the screening currents expressed by infinite series. It is also noted that both the Kac-Moody and the screening currents can be formulated on a lattice, a formalism which can simplify calculations and reveal the intricate structures of these currents.

• OSTI ID: 5480157
• Journal Information: International Journal of Modern Physics A; (United States), Journal Name: International Journal of Modern Physics A; (United States) Vol. 6:23; ISSN IMPAE; 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
FIELD THEORIES
FUNCTIONS
IRREDUCIBLE REPRESENTATIONS
SYMMETRY GROUPS
VERTEX FUNCTIONS