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

Abstract

For any 5d $\mathcal{N}=1$ 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.

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

References in corpus (10)

• The Refined Topological Vertex
• Webs of five-branes and N=2 superconformal field theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Small Instantons, Little Strings and Free Fermions
• Fiber-Base Duality and Global Symmetry Enhancement
• Duality walls and defects in 5d N=1 theories
• Equivalence of several descriptions for 6d SCFT
• Rank-3 antisymmetric matter on 5-brane webs
• Discrete theta angle from an O5-plane
• Testing 5d-6d dualities with fractional D-branes

Cited by in corpus (2)

• (5d RG-flow) Trees in the Tropical Rain Forest
• On non-supersymmetric fixed points in five dimensions