On invariants of Modular categories beyond modular data Institutional Repository Document

abstract

• 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.

authors

• Rowell, Eric

author list (cited authors)

• Bonderson, P., Delaney, C., Galindo, C., Rowell, E. C., Tran, A., & Wang, Z.

complete list of authors

• Bonderson, Parsa||Delaney, Colleen||Galindo, César||Rowell, Eric C||Tran, Alan||Wang, Zhenghan

Book Title

• arXiv

publication date

• May 2018

keywords

• Cond-mat.str-el
• Math.qa
• Quant-ph

Digital Object Identifier (DOI)

• 10.48550/arxiv.1805.05736