Geometric constraints on the space of N $$ \mathcal{N} $$ = 2 SCFTs. Part II: construction of special Kähler geometries and RG flows

• Main Authors: Philip C. Argyres, Matteo Lotito, Yongchao Lü, Mario Martone
• Format: Article
• Language: English
• Published: SpringerOpen 2018-02-01
• Series: Journal of High Energy Physics
• Subjects: Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory
• Online Access: http://link.springer.com/article/10.1007/JHEP02(2018)002

Abstract This is the second in a series of three papers on systematic analysis of rank 1 Coulomb branch geometries of four dimensional N $$ \mathcal{N} $$ = 2 SCFTs. In [1] we developed a strategy for classifying physical rank-1 CB geometries of N $$ \mathcal{N} $$ = 2 SCFTs. Here we show how to carry out this strategy computationally to construct the Seiberg-Witten curves and one-forms for all the rank-1 SCFTs. Explicit expressions are given for all 28 cases, with the exception of the N f =4 su(2) gauge theory and the E n SCFTs which were constructed in [2, 3] and [4, 5].