Fusion bases for affine Lie algebras
Luc Begin, Chris Cummins, P. Mathieu
TL;DR
This paper explores the structure of fusion bases for affine Lie algebras, showing how they encode fusion coefficients and detailing the construction for su(2).
Contribution
It introduces the concept of fusion bases as a complete set of inequalities encoding fusion coefficients for affine Lie algebras, with detailed construction for su(2).
Findings
Fusion bases encode threshold levels in affine Lie algebra fusion coefficients.
The paper provides a detailed construction of the su(2) fusion basis.
Fusion bases offer a complete description of fusion coefficients through inequalities.
Abstract
Fusion coefficients for affine Lie algebras are fixed by the corresponding tensor-product coefficients and a set of threshold levels. It is shown how the information concerning the threshold level is coded in the fusion basis, which is a set of inequalities that completely describes the fusion coefficients. The construction of the su(2) fusion basis is presented in detail.
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Taxonomy
TopicsAdvanced Fiber Optic Sensors · Digital Filter Design and Implementation · Advanced Fiber Laser Technologies