Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3)

Evans, David E. and Pugh, Mathew J. ORCID: https://orcid.org/0000-0001-9045-3713 2011. Spectral Measures and Generating Series for Nimrep Graphs in Subfactor Theory II: SU(3). Communications in Mathematical Physics 301 (3) , pp. 771-809. 10.1007/s00220-010-1157-x

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Abstract

We complete the computation of spectral measures for SU(3) nimrep graphs arising in subfactor theory, namely the SU(3) graphs associated with SU(3) modular invariants and the McKay graphs of finite subgroups of SU(3). For the SU(2) graphs the spectral measures distill onto very special subsets of the semicircle/circle, whilst for the SU(3) graphs the spectral measures distill onto very special subsets of the discoid/torus. The theory of nimreps allows us to compute these measures precisely. We have previously determined spectral measures for some nimrep graphs arising in subfactor theory, particularly those associated with all SU(2) modular invariants, all subgroups of SU(2), the torus \mathbb{T}^2, SU(3), and some SU(3) graphs.

Item Type:	Article
Date Type:	Publication
Status:	Published
Schools:	Mathematics
Subjects:	Q Science > QA Mathematics
Publisher:	Springer
ISSN:	0010-3616
Last Modified:	10 May 2023 07:38
URI:	https://orca.cardiff.ac.uk/id/eprint/11931

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