Seiberg duality, quiver gauge theories, and Ihara's zeta function
Zhou, D., Xiao, Y. & He, Y. (2015). Seiberg duality, quiver gauge theories, and Ihara's zeta function. International Journal of Modern Physics A, 30(18n19), article number 1550118. 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 Science & Technology > Mathematics |
| SWORD Depositor: |
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