论文标题
离散降低的NAHM系统的LAX对
Lax pairs for the discrete reduced Nahm systems
论文作者
论文摘要
我们将减少NAHM系统的LAX对离散,并证明其与Kahan-Hirota-Kimura离散程序的等效性。我们表明,这些LAX对保证了离散降低的NAHM系统提供不变的整合性。另外,我们以一个例子表明,NAHM系统无法解决Kahan-Hirota-Kimura离散性的一般表征的总体表征。
We discretise the Lax pair for the reduced Nahm systems and prove its equivalence with the Kahan-Hirota-Kimura discretisation procedure. We show that these Lax pairs guarantee the integrability of the discrete reduced Nahm systems providing an invariant. Also, we show with an example that Nahm systems cannot solve the general problem of characterisation of the integrability for Kahan-Hirota-Kimura discretisations.