Virasoro融合核与Ruijsenaars超几何函数
The Virasoro fusion kernel and Ruijsenaars' hypergeometric function
摘要：
我们表明，Virasoro融合内核是等于Ruijsenaars的超几何函数归一化。更精确地说，我们证明了Virasoro融合核是四个差分算子的联合本征函数。我们发现这个内核的重整化版本的四个差分算子映射到四个版本的量子相对论双曲Calogero-Moser哈密顿绑在根系统$BC_1$。因此，我们证明了重整化Virasoro融合核和相应的量子本征函数，（重整化）Ruijsenaars超几何函数，是相等的。
英文摘要：
We show that the Virasoro fusion kernel is equal to Ruijsenaars' hypergeometric function up to normalization. More precisely, we prove that the Virasoro fusion kernel is a joint eigenfunction of four difference operators. We find a renormalized version of this kernel for which the four difference operators are mapped to four versions of the quantum relativistic hyperbolic Calogero-Moser Hamiltonian tied with the root system $BC_1$. We consequently prove that the renormalized Virasoro fusion kernel and the corresponding quantum eigenfunction, the (renormalized) Ruijsenaars hypergeometric function, are equal.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
