\(\text{Trivial}:\ \text{FR}^{1,0}_{1}\)
Fusion Rules
\[\begin{array}{|l|} \hline \mathbf{1} \\ \hline \end{array}\]Quantum Dimensions
| Particle | Numeric | Symbolic |
|---|---|---|
| \(\mathbf{1}\) | \(1.\) | \(1\) |
| \(\mathcal{D}_{FP}^2\) | \(1.\) | \(1\) |
Characters
The symbolic character table is the following
\[\begin{array}{|c|} \hline \mathbf{1} \\ \hline 1 \\ \hline \end{array}\]The numeric character table is the following
\[\begin{array}{|r|} \hline \mathbf{1} \\ \hline 1.000 \\ \hline \end{array}\]Modular Data
The matching \(S\)-matrices and twist factors are the following
| \(S\)-matrix | Twist factors |
|---|---|
| \(\left(\begin{array}{c} 1 \\\end{array}\right)\) | \(\begin{array}{l}(0)\end{array}\) |
Adjoint Subring
The adjoint subring is the ring itself.
The upper central series is trivial.
Universal grading
This fusion ring allows only the trivial grading.
Categorifications
This ring has 1 categorification: the trivial Fusion Category.
Data
Download links for numeric data: