2015/10/31 by Marco Bertolini, Peter R. Merkx, David R. Morrison · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Black Holes and Theoretical Physics #Coulomb #Field (mathematics) #Global symmetry #Group (periodic table) #Homogeneous space #Homotopy and Cohomology in Algebraic Topology #R-symmetry #Symmetry (geometry) #Symmetry group #hep-th
paper · pdf · doi:10.1007/jhep07(2016)005
47 pages; v2: typos corrected, added the case su(6)* to the analysis of section 5 and section 6.1. v3: references added, minor changes, published version
openalex created_date 2016/06/24 · openalex publication_date 2016/07/01 · arxiv created 2016/07/23 · arxiv updated 2016/07/26 · openalex updated_date 2026/08/05
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.