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Toric Geometry and Enhanced Gauge Symmetry of F-Theory/Heterotic Vacua

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arxiv hep-th/9704097 v2 pith:IBK2RP4F submitted 1997-04-13 hep-th

Philip Candelas , Eugene Perevalov , Govindan Rajesh This is my paper · ORCID
classification hep-th
keywords gaugegrouptoricellipticenhancedf-theoryfourfoldsgeometry
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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.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. A finite 6d supergravity landscape from anomalies

    hep-th 2025-07 conditional novelty 7.0 of 10

    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.

  2. Relative Quantum Gravity: Localized Gravity and the Swampland

    hep-th 2025-01 conditional novelty 6.0 of 10

    Localized gravity theories can violate swampland constraints, but satisfy them when defined relative to a higher-dimensional gravity completion, dubbed relative quantum gravity.

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