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). The trace is another invariant for UMTCs which depends only on modular data, and contains the expression of the Frobenius-Schur indicator 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.
Bantay's trace in unitary modular tensor categories / Giorgetti, Luca; Rehren, Karl-Henning. - In: ADVANCES IN MATHEMATICS. - ISSN 0001-8708. - 319:(2017), pp. 211-223. [10.1016/j.aim.2017.08.018]
Bantay's trace in unitary modular tensor categories
Giorgetti, Luca;
2017
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). The trace is another invariant for UMTCs which depends only on modular data, and contains the expression of the Frobenius-Schur indicator 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.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
