solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看13345次
Cluster Toda chains and Nekrasov functions. (arXiv:1804.10145v2 [math-ph] UPDATED)
来源于:arXiv
In this paper the relation between the cluster integrable systems and
$q$-difference equations is extended beyond the Painlev\'e case.
We consider the class of hyperelliptic curves when the Newton polygons
contain only four boundary points. The corresponding cluster integrable Toda
systems are presented, and their discrete automorphisms are identified with
certain reductions of the Hirota difference equation. We also construct
non-autonomous versions of these equations and find that their solutions are
expressed in terms of 5d Nekrasov functions with the Chern-Simons
contributions, while in the autonomous case these equations are solved in terms
of the Riemann theta-functions. 查看全文>>