Haploid algebras in $C^{\ast }$-tensor categories and the Schellekens list

Sebastiano Carpi, Tiziano Gaudio, Luca Giorgetti +1

We prove that a haploid associative algebra in a $C^{\ast }$-tensor category $\mathcal{C}$ is equivalent to a Q-system (a special $C^{\ast }$-Frobenius algebra) in $\mathcal{C}$ if and only if…