论文标题
量子偏线症身份是由量子代数的通用r-matrix产生的量子公式
Quantum dilogarithm identities arising from the product formula for universal R-matrix of quantum affine algebras
论文作者
论文摘要
在Arxiv：0912.1346中，提出了四个含有无限多个因素的量子偏diongarithm身份作为精制BP不变的壁交叉公式。我们使用K. ITO开发的量子仿射代数的通用r-matrix的公式给出了这些身份的代数证明，该公式通过选择仿射根系上的各种凸序来产生通用R-matrix的各种产品的呈现。通过通用R-Matrix的独特性和适当的变性，我们可以构造各种量子偏差的身份，包括Arxiv中提出的标识：0912.1346，结果与多行类型的凸阶相对应。
In arXiv:0912.1346, four quantum dilogarithm identities containing infinitely many factors are proposed as wall-crossing formula for refined BPS invariant. We give algebraic proof of these identities using the formula for universal R-matrix of quantum affine algebra developed by K. Ito, which yields various product presentation of universal R-matrix by choosing various convex orders on affine root system. By the uniqueness of universal R-matrix and appropriate degeneration, we can construct various quantum dilogarithm identities including the ones proposed in arXiv:0912.1346, which turn out to correspond to convex orders of multiple row type.
