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

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 car...

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Bibliographic Details
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:
Online Access:http://link.springer.com/article/10.1007/JHEP02(2018)002
Description
Summary: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].
ISSN:1029-8479