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Seiberg duality, quiver gauge theories, and Ihara's zeta function

Zhou, D., Xiao, Y. and He, Y. (2015). Seiberg duality, quiver gauge theories, and Ihara's zeta function. International Journal of Modern Physics A, 30(18-19), doi: 10.1142/S0217751X15501183

Abstract

We study Ihara’s zeta function for graphs in the context of quivers arising from gauge theories, especially under Seiberg duality transformations. The distribution of poles is studied as we proceed along the duality tree, in light of the weak and strong graph versions of the Riemann Hypothesis. As a by-product, we find a refined version of Ihara’s zeta function to be the generating function for the generic superpotential of the gauge theory.

Publication Type: Article
Additional Information: Electronic version of an article published as International Journal of Modern Physics A, 30(18-19), doi: 10.1142/S0217751X15501183 © World Scientific Publishing Company http://www.worldscientific.com/worldscinet/ijmpa
Publisher Keywords: Seiberg duality; gauge theories; Ihara’s zeta function
Subjects: Q Science > QA Mathematics
Departments: School of Mathematics, Computer Science & Engineering > Mathematics
URI: http://openaccess.city.ac.uk/id/eprint/16451
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