Complete prepotentials of 5d higher rank 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.

arXiv comment39 pages, 11 figures; v3: typos corrected and two references added. Version to appear on JHEP