Constructing spoke subfactors using the jellyfish algorithm
Scott Morrison, David Penneys
TL;DR
This paper automates the construction of specific spoke subfactors using Jones' quadratic tangles formulas, introducing a new 4442 spoke subfactor and confirming known ones.
Contribution
It develops an automated method to construct spoke subfactors via jellyfish generators, including a new example, expanding the toolkit for subfactor theory.
Findings
New 4442 spoke subfactor constructed
Automated method for finding jellyfish generators
Confirmed existing 3333, 3311, 2221 spoke subfactors
Abstract
Using Jones' quadratic tangles formulas, we automate the construction of the 4442, 3333, 3311, and 2221 spoke subfactors by finding sets of 1-strand jellyfish generators. The 4442 spoke subfactor is new, and the 3333, 3311, and 2221 spoke subfactors were previously known.
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