Year: 2026
Type: preprint
Abstract: We show that the subfactor planar algebra with principal graph $D_\infty$ is the Brauer planar algebra with bubble constant $δ=2$. The Brauer algebra is similar to the Temperley-Lieb algebra, but with virtual crossings. At $δ=2$, it relates to the category of representations of the orthogonal group $O(2)$. We work over any commutative ring with $1/2$. Its principal graph encodes information about the corresponding monoidal category.
Source: arXiv (Cornell University)
Author: Bigelow, Stephen
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W7203916578
Cites:
Cited by:
Related to: