2011/02/07 by Yang-Hui He
Materials Science · Mathematics · Physics and Astronomy · #Advanced Combinatorial Mathematics #Advanced Operator Algebra Research #Quasicrystal Structures and Properties #hep-th #math-ph #math.MP
paper · pdf · doi:10.1007/jhep03(2011)064
published as JHEP 1103:064,2011 · 35 pages, 7 Figures
arxiv created 2011/02/07 · openalex publication_date 2011/03/01 · arxiv updated 2011/03/21 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
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.