Graph Zeta Function and Gauge Theories

Details Graph Zeta Function and Gauge Theories Graph Zeta Function and Gauge Theories

2011-02-07

arxiv.org/abs/1102.1304v1

JHEP 1103:064,2011

Physics

Mathematical Physics

35 pages, 7 Figures

Scientific paper

10.1007/JHEP03(2011)064

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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