Subfactors of index exactly 5

Izumi, Masaki; Morrison, Scott; Penneys, David; Peters, Emily; Snyder, Noah

Cultural advice

The Australian National University acknowledges, celebrates and pays our respects to the Ngunnawal and Ngambri people of the Canberra region and to all First Nations Australians on whose traditional lands we meet and work, and whose cultures are among the oldest continuing cultures in human history.

Aboriginal and Torres Strait Islander peoples are advised that ANU Library collections may include images, names, voices, and other representations of deceased persons.

Material in the collection may contain terms, language or views that reflect the period in which the item was created and may be considered inappropriate today.

Subfactors of index exactly 5

Date

2015-02-06

Authors

Izumi, Masaki

Morrison, Scott

Penneys, David

Peters, Emily

Snyder, Noah

Publisher

Oxford University Press

Abstract

We give the classification of subfactor planar algebras at index exactly 5. All the examples arise as standard invariants of subgroup subfactors. Some of the requisite uniqueness results come from work of Izumi in preparation. The non-existence results build upon the classification of subfactor planar algebras with index less than 5, with some additional analysis of special cases.