On invariants of Modular categories beyond modular data

Autor:	Bonderson, Parsa, Delaney, Colleen, Galindo, César, Rowell, Eric C., Tran, Alan, Wang, Zhenghan
Rok vydání:	2018
Předmět:	Mathematics - Quantum Algebra Condensed Matter - Strongly Correlated Electrons Quantum Physics
Druh dokumentu:	Working Paper
Popis:	We study novel invariants of modular categories that are beyond the modular data, with an eye towards a simple set of complete invariants for modular categories. Our focus is on the $W$-matrix--the quantum invariant of a colored framed Whitehead link from the associated TQFT of a modular category. We prove that the $W$-matrix and the set of punctured $S$-matrices are strictly beyond the modular data $(S,T)$. Whether or not the triple $(S,T,W)$ constitutes a complete invariant of modular categories remains an open question. Comment: 24 pages; references to arXiv:1606.04378 and arXiv:1806.02843 are added
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/1805.05736 Zobrazit plný text záznamu View this record from Arxiv