论文标题

五角大楼的量子簇散射图中的关系

Pentagon relation in quantum cluster scattering diagrams

论文作者

Nakanishi, Tomoki

论文摘要

我们在量子簇散射图(QCSD)的结构组中制定了五边形的关系。作为应用程序,我们显示了一定类别的非对称QCSD的非阳性。此外,我们明确地介绍了等级2的QCSD的各种一致性关系,或者在某种程度上完全呈现,其中许多是文献中的新一致性。

We formulate the pentagon relation for quantum dilogarithm elements in the structure group of a quantum cluster scattering diagram (QCSD). As an application, we show the nonpositivity of a certain class of nonskew-symmetric QCSDs. Also, we explicitly present various consistency relations for QCSDs of rank 2 completely or up to some degree, many of which are new in the literature.

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