On the global symmetries of 6D superconformal field theories
We study global symmetry groups of six-dimensional superconformal field theories (SCFTs). In the Coulomb branch we use field theoretical arguments to predict an upper bound for the global symmetry of the SCFT. We then analyze global symmetry groups of F-theory constructions of SCFTs with a one-dimensional Coulomb branch. While in the vast majority of cases, all of the global symmetries allowed by our Coulomb branch analysis can be realized in F-theory, in a handful of cases we find that F-theory models fail to realize the full symmetry of the theory on the Coulomb branch. In one particularly mysterious case, F-theory models realize several distinct maximal subgroups of the predicted group, but not the predicted group itself.
KeywordsDifferential and Algebraic Geometry F-Theory Global Symmetries Superstring Vacua
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
- M. Reid, Young person’s guide to canonical singularities, in Algebraic geometry, Bowdoin, 1985, Brunswick ME U.S.A. (1985), Proc. Sympos. Pure Math. 46, Amer. Math. Soc. U.S.A. (1987), pg. 345.Google Scholar
- C. Córdova, T.T. Dumitrescu and K. Intriligator, to appear.Google Scholar