Seiberg Duality, Quiver Gauge Theories, and Ihara Zeta Function
High Energy Physics - Theory
2015-10-28 v2 Mathematical Physics
math.MP
Abstract
We study Ihara 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 zeta function to be the generating function for the generic superpotential of the gauge theory.
Keywords
Cite
@article{arxiv.1502.05771,
title = {Seiberg Duality, Quiver Gauge Theories, and Ihara Zeta Function},
author = {Da Zhou and Yan Xiao and Yang-Hui He},
journal= {arXiv preprint arXiv:1502.05771},
year = {2015}
}
Comments
41 pages, 10 figures