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QFT method for indefinite Kac-Moody Theory: A step towards classification

Adil Belhaj·El Hassan Saidi
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Abstract

We propose a quantum field theory (QFT) method to approach the classification of indefinite sector of Kac-Moody algebras. In this approach, Vinberg relations are interpreted as the discrete version of the QFT_{2} equation of motion of a scalar field and Dynkin diagrams as QFT_{2} Feynman graphs. In particular, we show that Dynkin diagrams of su(n+1) series (n\geq 1) can be interpreted as free field propagators and T_{p,q,r} diagrams as the vertex of ϕ^{3} interaction. Other results are also given.

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Adil Belhaj, El Hassan Saidi. 2006-05-17. QFT method for indefinite Kac-Moody Theory: A step towards classification. https://arxiv.org/abs/hep-th/0605168

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