论文标题
Virasoro Fusion内核和Ruijsenaars的超几何功能
The Virasoro fusion kernel and Ruijsenaars' hypergeometric function
论文作者
论文摘要
我们表明，Virasoro Fusion内核等于Ruijsenaars的高几幅功能，直到归一化。更确切地说，我们证明了Virasoro融合核是四个差异算子的联合特征功能。我们找到了该内核的重归于的版本，该版本将四个差异操作员映射到四个版本的量子相对论夸张的Calogero-moser hamiltonian与root System $ bc_1 $绑定。因此，我们证明了重新归一化的virasoro融合核和相应的量子特征功能，即（重新归一化的）ruijsenaars超几何函数，是相等的。
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.
