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Truncated fusion rules for supergroups

Snapshots of modern mathematics from Oberwolfach

Truncated fusion rules for supergroups

In the ’70s, physicists introduced a new type of symmetry – supersymmetry – to address some unresolved issues in particle physics models. Its mathematical foundations involve the representation theory of the associated symmetry groups, called supergroups.

Our aim is to understand fusion rules, which describe how a combination of two physical systems can be broken down into more fundamental building blocks. Although the answer is largely unknown, we can get approximate answers in some cases.

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Mathematical subjects

Algebra and Number Theory

Connections to other fields

Physics

Author(s)

Thorsten Heidersdorf

License

DOI (Digital Object Identifier)

10.14760/SNAP-2025-001-EN

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snapshot-2025-001.pdf

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