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Towards a classification of fusion rule algebras in rational conformal field theories

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Abstract

We review the main topics concerning Fusion Rule Algebras (FRA) of Rational Conformal Field Theories. After an exposition of their general properties, we examine known results on the complete classification for low number of fields ({<=}4). We then turn our attention to FRA`s generated polynomially by one (real) fundamental field, for which a classification is known. Attempting to generalize this result, we describe some connections between FRA`s and Graph Theory. The possibility to get new results on the subject following this ``graph`` approach is briefly discussed. (author).
Authors:
Ravanini, F; [1]  Caselle, M; Ponzano, G [2] 
  1. CEA Centre d`Etudes de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
  2. Turin Univ. (Italy). Ist. di Fisica Teorica
Publication Date:
Dec 31, 1991
Product Type:
Conference
Report Number:
CEA-CONF-11436; CONF-9106454-
Reference Number:
SCA: 662110; PA: AIX-25:023533; EDB-94:058826; ERA-19:013433; NTS-94:017829; SN: 94001172441
Resource Relation:
Conference: Conference on Advanced Quantum Field Theory and Critical Phenomena,Como (Italy),17-21 Jun 1991; Other Information: PBD: 1991
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; ALGEBRAIC FIELD THEORY; CONFORMAL INVARIANCE; FIELD ALGEBRA; HILBERT SPACE; POLYNOMIALS; 662110; THEORY OF FIELDS AND STRINGS
OSTI ID:
10138125
Research Organizations:
CEA Centre d`Etudes de Saclay, 91 - Gif-sur-Yvette (France). Service de Physique Theorique
Country of Origin:
France
Language:
English
Other Identifying Numbers:
Other: ON: DE94618459; TRN: FR9401704023533
Availability:
OSTI; NTIS (US Sales Only); INIS
Submitting Site:
FRN
Size:
18 p.
Announcement Date:
Jul 05, 2005

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Citation Formats

Ravanini, F, Caselle, M, and Ponzano, G. Towards a classification of fusion rule algebras in rational conformal field theories. France: N. p., 1991. Web.
Ravanini, F, Caselle, M, &amp; Ponzano, G. Towards a classification of fusion rule algebras in rational conformal field theories. France.
Ravanini, F, Caselle, M, and Ponzano, G. 1991. "Towards a classification of fusion rule algebras in rational conformal field theories." France.
@misc{etde_10138125,
title = {Towards a classification of fusion rule algebras in rational conformal field theories}
 author = {Ravanini, F, Caselle, M, and Ponzano, G}
 abstractNote = {We review the main topics concerning Fusion Rule Algebras (FRA) of Rational Conformal Field Theories. After an exposition of their general properties, we examine known results on the complete classification for low number of fields ({<=}4). We then turn our attention to FRA`s generated polynomially by one (real) fundamental field, for which a classification is known. Attempting to generalize this result, we describe some connections between FRA`s and Graph Theory. The possibility to get new results on the subject following this ``graph`` approach is briefly discussed. (author).}
 place = {France}
 year = {1991}
 month = {Dec}
 }