图Zeta函数与规范理论
Graph Zeta Function and Gauge Theories
摘要：
沿着研究规范理论，特别是真空流形为非平凡的超对称理论的某些数论性质这条最近走过的道路，我们用二分图研究了大类非平凡规范理论和周期镶嵌的Ihara图Zeta函数.特别是，我们研究的问题，如频谱的邻接和规范理论是否满足强和弱版本的图论模拟的黎曼假设。
英文摘要：
Along the recently trodden path of studying certain number theoretic properties of gauge theories, especially supersymmetric theories whose vacuum manifolds are non-trivial, we investigate Ihara's Graph Zeta Function for large classes of quiver theories and periodic tilings by bi-partite graphs. In particular, we examine issues such as the spectra of the adjacency and whether the gauge theory satisfies the strong and weak versions of the graph theoretical analogue of the Riemann Hypothesis.
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