Revision 2

Accepted · cosmetic change · record

Changes against revision 1:

Title · changed: Revision 1: Do all six-dimensional superconformal theories arise from F-theory; Revision 2: Do all six-dimensional superconformal theories arise from F-theory?
Plain: A catalog of six-dimensional theories was built from geometric constructions in string theory. Whether every such theory appears in the catalog is unknown.
Precise: Heckman, Morrison, Rudelius and Vafa (2015) classified $6\mathrm{D}\,(1,0)$ SCFTs realized by F-theory on elliptically fibered Calabi-Yau threefolds with contractible bases. Determine whether every interacting $6\mathrm{D}\,(1,0)$ SCFT admits such a realization, including frozen phases with $\mathrm{O7}+$ planes, by a field-theoretic completeness argument or a counterexample.
Settled by: A field-theoretic proof that consistency (anomaly cancellation and unitarity on the tensor branch) admits only the geometric list, or an explicit theory outside it.
Kind: well-posed
Answer type: yes-no
References: (empty)
Literature status: open
Status note: Frozen-singularity theories (Bhardwaj, Morrison, Tachikawa, Tomasiello 2018) enlarged the F-theory list; no field-theoretic completeness argument exists.
Posed since: 2015

Decisions