English

Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories

High Energy Physics - Theory 2020-02-17 v2

Abstract

For any 5d N=1{\cal N}=1 superconformal field theory, we propose a "complete" prepotential which reduces to the perturbative prepotential for any of its possible gauge theory realizations, manifests its global symmetry when written in terms of the invariant Coulomb branch parameters, and is valid for the whole parameter region. As concrete examples, we consider SU(2)SU(2) gauge theories with up to 7 flavors, Sp(2)Sp(2) gauge theories with up to 9 flavors, and Sp(2)Sp(2) gauge theories with 1 antisymmetric tensor and up to 7 flavors, as well as their dual gauge theories.

Keywords

Cite

@article{arxiv.1912.10301,
  title  = {Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories},
  author = {Hirotaka Hayashi and Sung-Soo Kim and Kimyeong Lee and Futoshi Yagi},
  journal= {arXiv preprint arXiv:1912.10301},
  year   = {2020}
}

Comments

v1: 71 pages, 13 figures, v2: typos corrected, reference added