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

Abstract For any 5d N $$ \mathcal{N} $$ = 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 paramete...

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Bibliographic Details
Main Authors: Hirotaka Hayashi, Sung-Soo Kim, Kimyeong Lee, Futoshi Yagi
Format: Article
Language:English
Published: SpringerOpen 2020-02-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP02(2020)074
Description
Summary:Abstract For any 5d N $$ \mathcal{N} $$ = 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) gauge theories with up to 7 flavors, Sp(2) gauge theories with up to 9 flavors, and Sp(2) gauge theories with 1 antisymmetric tensor and up to 7 flavors, as well as their dual gauge theories.
ISSN:1029-8479