5d En Seiberg-Witten curve via toric-like diagram

Abstract

Abstract: We consider 5d Sp(1) gauge theory with ENf+1 global symmetries based on toric(-like) diagram constructed from (p, q)-web with 7-branes. We propose a systematic procedure to compute the Seiberg-Witten curve for generic toric-like diagram. For Nf = 6, 7 flavors, we explicitly compute the Seiberg-Witten curves for 5d Sp(1) gauge theory, and show that these Seiberg-Witten curves agree with already known E7,8 results. We also discuss a generalization of the Seiberg-Witten curve to rank-N cases.