Positivity and periodicity of $Q$-systems in the WZW fusion ring
In: Advances in Mathematics 311 (2017) 532--568; (2013)
Online
report
We study properties of solutions of $Q$-systems in the WZW fusion ring obtained by the Kirillov-Reshetikhin modules. We make a conjecture about their positivity and periodicity and give a proof of it in some cases. We also construct a positive solution of the level $k$ restricted $Q$-system of classical types in the fusion rings. As an application, we prove some conjectures of Kirillov and Kuniba-Nakanishi-Suzuki on the level $k$ restricted $Q$-systems.
Comment: 29 pages;Table 1 reproduced from arXiv:math/9812022 [math.QA]; v2 : no changes in main results, paper reorganized, introduction rewritten, notations polished, typos corrected, references added; v3 : typos corrected; v4 : minor changes
| Titel: |
Positivity and periodicity of $Q$-systems in the WZW fusion ring
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| Autor/in / Beteiligte Person: | Lee, Chul-hee |
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| Quelle: | Advances in Mathematics 311 (2017) 532--568; (2013) |
| Veröffentlichung: | 2013 |
| Medientyp: | report |
| DOI: | 10.1016/j.aim.2017.02.031 |
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