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

Adil Belhaj, El Hassan Saidi

hep-tharXiv:hep-th/0605168

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 QFT2 equation of motion of a scalar field and Dynkin diagrams as QFT2 Feynman graphs. In particular, we show that Dynkin diagrams of su(n+1) series (n≥ 1) can be interpreted as free field propagators and Tp,q,r diagrams as the vertex of ϕ3 interaction. Other results are also given.

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