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Characters and representations of new fermionic W-algebras

Technical Report:

Abstract

W-algebras are extensions of the Virasoro algebra describing chiral subalgebras of conformal quantum field theories. Careful analysis of the four-point functions and consideration of the invariant spaces under a subgroup of the modular group SL(2,{sub Z}) allow one to find all representations of new classes of fermionic W-algebras constructed recently. For each of these W-algebras there exists only a finite number of representations. The corresponding fusion rules are calculated. (orig.).
Authors:
Publication Date:
Aug 01, 1991
Product Type:
Technical Report
Report Number:
BONN-HE-91-16
Reference Number:
SCA: 662120; 662110; PA: DEN-92:000339; SN: 92000645218
Resource Relation:
Other Information: PBD: Aug 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CONFORMAL GROUPS; FIELD ALGEBRA; SPINOR FIELDS; CHIRALITY; FERMIONS; SL GROUPS; IRREDUCIBLE REPRESENTATIONS; 662120; 662110; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES; THEORY OF FIELDS AND STRINGS
OSTI ID:
10114098
Research Organizations:
Bonn Univ. (Germany). Physikalisches Inst.
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Other: ON: DE92758920; TRN: DE9200339
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
9 p.
Announcement Date:
Jun 30, 2005

Technical Report:

Citation Formats

Varnhagen, R. Characters and representations of new fermionic W-algebras. Germany: N. p., 1991. Web.
Varnhagen, R. Characters and representations of new fermionic W-algebras. Germany.
Varnhagen, R. 1991. "Characters and representations of new fermionic W-algebras." Germany.
@misc{etde_10114098,
title = {Characters and representations of new fermionic W-algebras}
author = {Varnhagen, R}
abstractNote = {W-algebras are extensions of the Virasoro algebra describing chiral subalgebras of conformal quantum field theories. Careful analysis of the four-point functions and consideration of the invariant spaces under a subgroup of the modular group SL(2,{sub Z}) allow one to find all representations of new classes of fermionic W-algebras constructed recently. For each of these W-algebras there exists only a finite number of representations. The corresponding fusion rules are calculated. (orig.).}
place = {Germany}
year = {1991}
month = {Aug}
}