| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 5778426 | Advances in Mathematics | 2017 | 13 Pages |
Abstract
We give a proof of a formula for the trace of self-braidings (in an arbitrary channel) in UMTCs which first appeared in the context of rational conformal field theories (CFTs) [2]. The trace is another invariant for UMTCs which depends only on modular data, and contains the expression of the Frobenius-Schur indicator [21] as a special case. Furthermore, we discuss some applications of the trace formula to the realizability problem of modular data and to the classification of UMTCs.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Luca Giorgetti, Karl-Henning Rehren,