N = 4 superYang-Mills理论的融合层次
Fusion hierarchies for N = 4 superYang-Mills theory
摘要：
我们采用解析的Bethe Anzats来构造转移矩阵的本征值与有限维非典型表示在辅助空间中的假定的长程自旋链编码异常尺寸的所有复合单迹规范不变算子的最大超对称杨-米尔斯理论。他们服从一个无限的融合层次，可以减少到一个有限的一组积分关系的最小集的传递矩阵。这个集合被用来导出嵌套Baxter多项式的特征值的函数方程的有限系统。
英文摘要：
We employ the analytic Bethe Anzats to construct eigenvalues of transfer matrices with finite-dimensional atypical representations in the auxiliary space for the putative long-range spin chain encoding anomalous dimensions of all composite single-trace gauge invariant operators of the maximally supersymmetric Yang-Mills theory. They obey an infinite fusion hierarchy which can be reduced to a finite set of integral relations for a minimal set of transfer matrices. This set is used to derive a finite systems of functional equations for eigenvalues of nested Baxter polynomials.
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