• DOI:10.1007/JHEP04(2013)153
• Corpus ID: 118529597

More on the $ \mathcal{N}=2 $ superconformal systems of type Dp(G)

@article{Cecotti2013MoreOT,
  title={More on the \$ \mathcal\{N\}=2 \$ superconformal systems of type Dp(G)},
  author={Sergio Cecotti and Michele Del Zotto and Simone Giacomelli},
  journal={Journal of High Energy Physics},
  year={2013},
  volume={2013},
  pages={1-66}
}

• S. Cecotti, M. Zotto, S. Giacomelli
• Published 13 March 2013
• Mathematics
• Journal of High Energy Physics

A bstractA large family of 4d $ \mathcal{N}=2 $ SCFT’s was introduced in 1210.2886. Its elements Dp(G) are labelled by a positive integer p ∈ $ \mathbb{N} $ and a simply-laced Lie group G; their flavor symmetry is at least G. In the present paper we study their physics in detail. We also analyze the properties of the theories obtained by gauging the diagonal symmetry of a collection of $ {D_{{{p_i}}}}(G) $ models. In all cases the computation of the physical quantities reduces to simple Lie-theoretical questions.To make the analysis more functorial, we replace the notion of the BPS-quiver of the $ \mathcal{N}=2 $ QFT by the more intrinsic concept of its META-quiver.In particular: 1) We compute the SCFT central charges a, c, k, and flavor group F for all Dp(G) models. 2) We identify the subclass of Dp(G) theories which correspond to previously known SCFT’s (linear SU and SO-U Sp quiver theories, Argyres-Douglas models, superconformal gaugings of Minahan-Nemeshanski Er models, etc.), as well as to non-trivial IR fixed points of known theories. The Dp(Er) SCFT’s with p ≥ 3 cannot be constructed by any traditional method. 3) We investigate the finite BPS chambers of some of the models. 4) As a by product, we prove three conjectures by Xie and Zhao, and provide new checks of the Argyres-Seiberg duality.