Rank 2 fusion rings are complete intersections
Troels Bak Andersen
TL;DR
This paper proves that fusion rings associated with rank 2 simple complex Lie algebras are complete intersections, providing a significant algebraic insight into their structure without explicit construction.
Contribution
It offers a non-constructive proof establishing the complete intersection property for rank 2 fusion rings, advancing understanding of their algebraic nature.
Findings
Fusion rings of rank 2 are complete intersections
Proof is non-constructive, relying on algebraic properties
Enhances understanding of fusion ring structures
Abstract
We give a non-constructive proof that fusion rings attached to a simple complex Lie algebra of rank 2 are complete intersections.
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