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

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.

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