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On bosonic and supersymmetric current algebras for non-semi-simple groups

Abstract

We present a systematic approach to constructing current algebras based on non-semisimple groups. The Virasoro central charges corresponding to these current algebras are not, in general, given by integer numbers. The key point in this construction is that the bilinear form appearing in the current algebra can be different from the bilinear form used to raise and lower group indices. The action which realises this current algebra as its symmetry is also found. (orig.)
Authors:
Publication Date:
Dec 01, 1993
Product Type:
Technical Report
Report Number:
BONN-HE-93-52; HEP-TH-9312182
Reference Number:
SCA: 662120; PA: DEN-94:0F7310; EDB-94:085017; ERA-19:019952; NTS-95:004810; SN: 94001208207
Resource Relation:
Other Information: PBD: Dec 1993
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CURRENT ALGEBRA; BOSONS; SUPERSYMMETRY; SIGMA MODEL; CONFORMAL GROUPS; OPERATOR PRODUCT EXPANSION; FIELD OPERATORS; TENSOR FIELDS; NONLINEAR PROBLEMS; ACTION INTEGRAL; LAGRANGIAN FIELD THEORY; LAGRANGE EQUATIONS; FIELD EQUATIONS; 662120; SYMMETRY, CONSERVATION LAWS, CURRENTS AND THEIR PROPERTIES
OSTI ID:
10153501
Research Organizations:
Bonn Univ. (Germany). Physikalisches Inst.
Country of Origin:
Germany
Language:
English
Other Identifying Numbers:
Journal ID: ISSN 0172-8733; Other: ON: DE94769154; TRN: DE94F7310
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
DEN
Size:
10 p.
Announcement Date:
Jul 06, 2005

Citation Formats

Mohammedi, N. On bosonic and supersymmetric current algebras for non-semi-simple groups. Germany: N. p., 1993. Web.
Mohammedi, N. On bosonic and supersymmetric current algebras for non-semi-simple groups. Germany.
Mohammedi, N. 1993. "On bosonic and supersymmetric current algebras for non-semi-simple groups." Germany.
@misc{etde_10153501,
title = {On bosonic and supersymmetric current algebras for non-semi-simple groups}
author = {Mohammedi, N}
abstractNote = {We present a systematic approach to constructing current algebras based on non-semisimple groups. The Virasoro central charges corresponding to these current algebras are not, in general, given by integer numbers. The key point in this construction is that the bilinear form appearing in the current algebra can be different from the bilinear form used to raise and lower group indices. The action which realises this current algebra as its symmetry is also found. (orig.)}
place = {Germany}
year = {1993}
month = {Dec}
}