Complete prepotentials of 5d higher rank theories

TL;DR

This paper constructs complete prepotentials for specific 5d SCFTs, extending previous methods to higher rank theories, verified through dualities and flavor decoupling, with applications to non-supersymmetric CFTs.

Contribution

It generalizes methods for constructing complete prepotentials to two classes of rank-N 5d theories, including UV fixed points, verified via dualities and flavor decoupling.

Findings

Successfully constructed prepotentials for $X_{1,N}$ and $SU(N+1)_0+2(N+1)$F theories.

Verified results through UV dualities and flavor decoupling.

Applied findings to study non-supersymmetric conformal field theories.

Abstract

We generalize recent methods regarding the construction of complete prepotentials of five dimensional SCFTs to two classes of rank-$N$ theories, i.e. the $X_{1,N}$ and the UV fixed point of the $SU(N+1)_0+2(N+1)$F gauge theories. Their complete prepotentials are consistently constructed starting from their weakly coupled description. The results are verified by employing UV dualities and decoupling of flavors from theories with known complete prepotentials. Applications of these results to the recent investigation of non-supersymmetric conformal field theories from soft supersymmetric breaking deformations are addressed.