Toric bases for 6D F-theory models
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1204.0283.pdf
Description
Submitted version
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425.29 KB
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95ce6325e0cc88b70cccb562ea3df7ef
Author(s)
Morrison, David R.
Taylor, Washington
Date Issued
December 2012
Journal
Fortschritte der Physik
Publisher
Wiley
Citation
Morrison, David R. and Washington Taylor. "Toric bases for 6D F-theory models." Fortschritte der Physik 60 (Nov. 2012):11-12.
Version
Original manuscript
Abstract
We find all smooth toric bases that support elliptically fiber ed Calabi-Yau threefolds, using the intersection structure of the irredu cible effective divisors on the base. These bases can be used for F-theory constructions of six-di mensional quantum supergrav- ity theories. There are 61,539 distinct possible toric base s. The associated 6D supergravity theories have a number of tensor multiplets ranging from 0 to 193. For each base an explicit Weierstrass parameterization can be determined i n terms of the toric data. The toric counting of parameters matches with the gravitationa l anomaly constraint on mass- less fields. For bases associated with theories having a larg e number of tensor multiplets, there is a large non-Higgsable gauge group containing multi ple irreducible gauge group fac- tors, particularly those having algebras e₈, f₄, and g₂ ⊕ su (2) with minimal (non-Higgsable) matter.
MIT Department
Massachusetts Institute of Technology. Department of Physics
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Creative Commons Attribution-Noncommercial-Share Alike
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DOI of Published Version
https://doi.org/10.1002/prop.201200086
