Local and Dai-Freed global anomaly cancellation implies T ≤ 3003 and a finite 6d non-abelian supergravity landscape, with the extremal model [E8 x F4 x (G2 x SU(2))^2]^273.
Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
We study F-theory compactified on elliptic Calabi-Yau threefolds that are realised as hypersurfaces in toric varieties. The enhanced gauge group as well as the number of massless tensor multiplets has a very simple description in terms of toric geometry. We find a large number of examples where the gauge group is not a subgroup of E8xE8, but rather, is much bigger (with rank as high as 296). The largest of these groups is the group recently found by Aspinwall and Gross. Our algorithm can also be applied to elliptic fourfolds, for which the groups can become extremely large indeed (with rank as high as 121328). We present the gauge content for two of the fourfolds recently studied by Klemm et al.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2025 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
A finite 6d supergravity landscape from anomalies
Local and Dai-Freed global anomaly cancellation implies T ≤ 3003 and a finite 6d non-abelian supergravity landscape, with the extremal model [E8 x F4 x (G2 x SU(2))^2]^273.