On invariants of Modular categories beyond modular data Institutional Repository Document uri icon

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.

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, C├ęsar||Rowell, Eric C||Tran, Alan||Wang, Zhenghan

Book Title

  • arXiv

publication date

  • May 2018