General Prescription for Global U(1)'s in 6D SCFTs
Abstract
We present a general prescription for determining the global U(1) symmetries of six-dimensional superconformal field theories (6D SCFTs). We use the quiver-like gauge theory description of the tensor branch to identify candidate U(1) symmetries which can act on generalized matter. The condition that these candidate U(1)'s are free of Adler-Bell-Jackiw (ABJ) anomalies provides bottom-up constraints for U(1)'s. This agrees with the answer obtained from symmetry breaking patterns induced by Higgs branch flows. We provide numerous examples illustrating the details of this proposal. In the F-theory realization of these theories, some of these symmetries originate from deformations of non-abelian flavor symmetries localized on a component of the discriminant, while others come from an additional generator of the Mordell-Weil group. We also provide evidence that some of these global U(1)'s do not arise from gauge symmetries, as would happen in taking a decoupling limit of a model coupled to six-dimensional supergravity.
Keywords
Cite
@article{arxiv.2001.10549,
title = {General Prescription for Global U(1)'s in 6D SCFTs},
author = {Fabio Apruzzi and Marco Fazzi and Jonathan J. Heckman and Tom Rudelius and Hao Y. Zhang},
journal= {arXiv preprint arXiv:2001.10549},
year = {2020}
}
Comments
74 pages, 5 figures