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Graph Zeta Function and Gauge Theories

He, Y. (2011). Graph Zeta Function and Gauge Theories. Journal of High Energy Physics, 2011(3), 064 - 064. doi: 10.1007/JHEP03(2011)064

Abstract

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.

Publication Type: Article
Publisher Keywords: Supersymmetry and Duality – Duality in Gauge Field Theories – AdS-CFT Correspondence – Differential and Algebraic Geometry
Subjects: Q Science > QC Physics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/890
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