3.1.1 The Cyclic Series.......................... 11

Along the recently trodden path of studying certain number theoretic prop-erties of gauge theories, especially supersymmetric theories whose vacuum mani-folds 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 ex-amine 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 th