Linear recurrence relations in $Q$-systems and difference $L$-operators

Abstract

We study linear recurrence relations in the character solutions of $Q$-systems obtained from the Kirillov-Reshetikhin modules. We explain how known results on difference $L$-operators lead to a uniform construction of linear recurrences in many examples, and formulate certain conjectural properties predicted in general by this construcion.

19 pages; v2 : typos corrected, references added, one proposition added in Appendix B; to appear in J.Phys.A

References in corpus (1)

• Positivity and periodicity of $Q$-systems in the WZW fusion ring

Cited by in corpus (1)

• Positivity and periodicity of $Q$-systems in the WZW fusion ring