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W-algebras and superalgebras from constrained WZW models. A group theoretical classification

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Abstract

A classification of W algebras and superalgebras arising in Abelian as well as non Abelian Toda theories is presented. Each model, obtained from a constrained WZW action, is related with an Sl(2) subalgebra (resp. OSp(1/2) superalgebra) of a simple Lie algebra (resp. superalgebra) G. However, the determination of an U(1){sub Y} factor, commuting with Sl(2) (resp. OSp(1/2)), appears, when it exists, particularly useful to characterize the corresponding W algebra. The (super) conformal spin contents of each W (super)algebra is performed. The class of all the superconformal algebras (i.e. with conformal spins s{<=}2) is easily obtained as a byproduct of our general results. (author) 26 refs.; 21 tabs.
Authors:
Publication Date:
Jul 01, 1992
Product Type:
Technical Report
Report Number:
LAPP-AL-391-92
Reference Number:
SCA: 662110; PA: AIX-25:007106; EDB-94:015671; ERA-19:007589; NTS-94:015119; SN: 94001126839
Resource Relation:
Other Information: PBD: Jul 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRADED LIE GROUPS; ALGEBRAIC FIELD THEORY; CONFORMAL INVARIANCE; FIELD ALGEBRA; GROUP THEORY; SPIN; SUPERSYMMETRY; TWO-DIMENSIONAL CALCULATIONS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10113990
Research Organizations:
Grenoble-1 Univ., 74 - Annecy (France). Lab. de Physique des Particules Elementaires
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94611121; TRN: FR9303120007106
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
67 p.
Announcement Date:
Jun 30, 2005

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Citation Formats

Frappat, L, Ragoucy, E, and Sorba, P. W-algebras and superalgebras from constrained WZW models. A group theoretical classification. France: N. p., 1992. Web.
Frappat, L, Ragoucy, E, &amp; Sorba, P. W-algebras and superalgebras from constrained WZW models. A group theoretical classification. France.
Frappat, L, Ragoucy, E, and Sorba, P. 1992. "W-algebras and superalgebras from constrained WZW models. A group theoretical classification." France.
@misc{etde_10113990,
title = {W-algebras and superalgebras from constrained WZW models. A group theoretical classification}
 author = {Frappat, L, Ragoucy, E, and Sorba, P}
 abstractNote = {A classification of W algebras and superalgebras arising in Abelian as well as non Abelian Toda theories is presented. Each model, obtained from a constrained WZW action, is related with an Sl(2) subalgebra (resp. OSp(1/2) superalgebra) of a simple Lie algebra (resp. superalgebra) G. However, the determination of an U(1){sub Y} factor, commuting with Sl(2) (resp. OSp(1/2)), appears, when it exists, particularly useful to characterize the corresponding W algebra. The (super) conformal spin contents of each W (super)algebra is performed. The class of all the superconformal algebras (i.e. with conformal spins s{<=}2) is easily obtained as a byproduct of our general results. (author) 26 refs.; 21 tabs.}
 place = {France}
 year = {1992}
 month = {Jul}
 }