Fusion rule algebras from graph theory

M. Caselle; G. Ponzano

doi:10.1016/0370-2693(89)91235-5

Fusion rule algebras from graph theory

M. Caselle
, G. Ponzano

Research output: Contribution to journal › Article › peer-review

Abstract

We describe a new class of fusion algebras related to graph theory which bear intriguing connections with group algebras. The structure constants and the matrix S, which diagonalizes the fusion rules, are explicitly computed in terms of SU(2) coupling coefficients.

Original language	English
Pages (from-to)	303-308
Number of pages	6
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	224
Issue number	3
DOIs	https://doi.org/10.1016/0370-2693(89)91235-5
Publication status	Published - 29 Jun 1989
Externally published	Yes

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title = "Fusion rule algebras from graph theory",

abstract = "We describe a new class of fusion algebras related to graph theory which bear intriguing connections with group algebras. The structure constants and the matrix S, which diagonalizes the fusion rules, are explicitly computed in terms of SU(2) coupling coefficients.",

author = "M. Caselle and G. Ponzano",

note = "Funding Information: Work supported in part by Ministero della Pubblica Istruzione.",

year = "1989",

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AU - Ponzano, G.

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Y1 - 1989/6/29

N2 - We describe a new class of fusion algebras related to graph theory which bear intriguing connections with group algebras. The structure constants and the matrix S, which diagonalizes the fusion rules, are explicitly computed in terms of SU(2) coupling coefficients.

AB - We describe a new class of fusion algebras related to graph theory which bear intriguing connections with group algebras. The structure constants and the matrix S, which diagonalizes the fusion rules, are explicitly computed in terms of SU(2) coupling coefficients.

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DO - 10.1016/0370-2693(89)91235-5

M3 - Article

SN - 0370-2693

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JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

IS - 3

ER -

Fusion rule algebras from graph theory

Abstract

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