Quantum Q-systems and fermionic sums -- the non-simply laced case
Abstract
In this paper, we seek to prove the equality of the -graded fermionic sums conjectured by Hatayama et al. in its full generality, by extending the results of Di Francesco and Kedem to the non-simply laced case. To this end, we will derive explicit expressions for the quantum -system relations, which are quantum cluster mutations that correspond to the classical -system relations, and write the identity of the -graded fermionic sums as a constant term identity. As an application, we will show that these quantum -system relations are consistent with the short exact sequence of the Feigin-Loktev fusion product of Kirillov-Reshetikhin modules obtained by Chari and Venkatesh.
Keywords
Cite
@article{arxiv.1903.11492,
title = {Quantum Q-systems and fermionic sums -- the non-simply laced case},
author = {Mingyan Simon Lin},
journal= {arXiv preprint arXiv:1903.11492},
year = {2020}
}
Comments
43 pages. Typographical errors are corrected, and the references are clarified