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Folding the W-algebras

Technical Report:

Abstract

The folding of the Dynkin diagram of A{sub 2n} (resp., A{sub 2n-1}) produces the B{sub n} (resp., C{sub n}) Dynkin diagram, similarly the symmetry algebra W of a Toda model based on B{sub n} (resp., C{sub n}) can be seen as resulting from the folding of a W-algebra based on A{sub 2n} (resp., A{sub 2n-1}). More generally, W algebras related to the B-C-D algebra series can appear from W algebras related to the unitary ones. Such an approach is particularly well adapted to obtain fusion rules of W algebras based on non simply laced algebras from fusion rules corresponding to the A{sub n} case. Analogously, super-W algebras associated to orthosymplectic superalgebras are deduced from those relative to the unitary A(m,n) series. (author) 16 refs.; 1 tab.
Publication Date:
Nov 01, 1992
Product Type:
Technical Report
Report Number:
LAPP-AL-408-92
Reference Number:
SCA: 662110; 662120; PA: AIX-25:007108; EDB-94:015675; ERA-19:007591; NTS-94:015117; SN: 94001126842
Resource Relation:
Other Information: PBD: Nov 1992
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; GRADED LIE GROUPS; SUPERSYMMETRY; ALGEBRA; ALGEBRAIC FIELD THEORY; 662110; 662120; THEORY OF FIELDS AND STRINGS; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10113984
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: DE94611123; TRN: FR9303131007108
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
28 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Frappat, L, Ragoucy, E, and Sorba, P. Folding the W-algebras. France: N. p., 1992. Web.
Frappat, L, Ragoucy, E, & Sorba, P. Folding the W-algebras. France.
Frappat, L, Ragoucy, E, and Sorba, P. 1992. "Folding the W-algebras." France.
@misc{etde_10113984,
title = {Folding the W-algebras}
author = {Frappat, L, Ragoucy, E, and Sorba, P}
abstractNote = {The folding of the Dynkin diagram of A{sub 2n} (resp., A{sub 2n-1}) produces the B{sub n} (resp., C{sub n}) Dynkin diagram, similarly the symmetry algebra W of a Toda model based on B{sub n} (resp., C{sub n}) can be seen as resulting from the folding of a W-algebra based on A{sub 2n} (resp., A{sub 2n-1}). More generally, W algebras related to the B-C-D algebra series can appear from W algebras related to the unitary ones. Such an approach is particularly well adapted to obtain fusion rules of W algebras based on non simply laced algebras from fusion rules corresponding to the A{sub n} case. Analogously, super-W algebras associated to orthosymplectic superalgebras are deduced from those relative to the unitary A(m,n) series. (author) 16 refs.; 1 tab.}
place = {France}
year = {1992}
month = {Nov}
}