Classification of Super-Modular Categories by Rank View Full Text


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Article Info

DATE

2019-03-09

AUTHORS

Paul Bruillard, César Galindo, Siu-Hung Ng, Julia Y. Plavnik, Eric C. Rowell, Zhenghan Wang

ABSTRACT

We pursue a classification of low-rank super-modular categories parallel to that of modular categories. We classify all super-modular categories up to rank = 6, and spin modular categories up to rank = 11. In particular, we show that, up to fusion rules, there is exactly one non-split super-modular category of rank 2, 4 and 6, namely PSU(2)4k+ 2 for k = 0,1 and 2. This classification is facilitated by adapting and extending well-known constraints from modular categories to super-modular categories, such as Verlinde and Frobenius-Schur indicator formulae. More... »

PAGES

1-15

References to SciGraph publications

Identifiers

URI

http://scigraph.springernature.com/pub.10.1007/s10468-019-09873-9

DOI

http://dx.doi.org/10.1007/s10468-019-09873-9

DIMENSIONS

https://app.dimensions.ai/details/publication/pub.1112673177


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