TOWARDS A CLASSIFICATION OF FUSION RULE ALGEBRAS IN RATIONAL CONFORMAL FIELD THEORIES-Reference-Cited by-同舟云学术

TOWARDS A CLASSIFICATION OF FUSION RULE ALGEBRAS IN RATIONAL CONFORMAL FIELD THEORIES

Published:1992-06 Issue:11n12 Volume:06 Page:2075-2090
ISSN:0217-9792
Container-title:International Journal of Modern Physics B
language:en
Short-container-title:Int. J. Mod. Phys. B

Author:

CASELLE M.¹,PONZANO G.¹,RAVANINI F.²³

Affiliation:

1. Dept. of Theoretical Physics, University of Torino and I.N.F.N., Sezione di Torino, Via P. Giuria 1, I-10125 Torino, Italy

2. Service de Physique Théorique, C.E.A. -Saclay (Laboratoire de la Direction des Sciences de la Matière du Commissariat a l’Energie Atomique), Orme des Merisiers, F-91191 Gif-sur-Yvette, France

3. I.N.F.N., Sezione di Bologna, Italy

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S021797929200102X

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