张量模型中不变量的正交基
Orthogonal Bases of Invariants in Tensor Models
摘要：
表示理论提供了一个合适的框架来计算和分类张量模型中的不变量。我们表明，有两种自然的方式来计算不变量，一个是任意秩的规范群和第二个，这是只适用于大N。我们构造了基于计数的不变算子的基，并计算了它们的元素的分解子。与有限N相关联的基对角化了理论的两点函数，并且它类似于矩阵模型中使用的受限Schur基。我们对未来的调查方向发表意见。
英文摘要：
Representation theory provides a suitable framework to count and classify invariants in tensor models. We show that there are two natural ways of counting invariants, one for arbitrary rank of the gauge group and a second, which is only valid for large N. We construct bases of invariant operators based on the counting, and compute correlators of their elements. The basis associated with finite N diagonalizes the two-point function of the theory and it is analogous to the restricted Schur basis used in matrix models. We comment on future lines of investigation.
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