English

5d $E_n$ Seiberg-Witten curve via toric-like diagram

High Energy Physics - Theory 2018-04-25 v4

Abstract

We consider 5d Sp(1) gauge theory with ENf+1E_{N_f+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=6,7N_f=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 E7,8E_{7,8} results. We also discuss a generalization of the Seiberg-Witten curve to rank-N cases.

Keywords

Cite

@article{arxiv.1411.7903,
  title  = {5d $E_n$ Seiberg-Witten curve via toric-like diagram},
  author = {Sung-Soo Kim and Futoshi Yagi},
  journal= {arXiv preprint arXiv:1411.7903},
  year   = {2018}
}

Comments

v1: 41 pages and appendices. v2: Section 4.2 is improved. v3: published version. v4: minor corrections in appendix B