Toric bases for 6D F-theory models

Abstract

We find all smooth toric bases that support elliptically fibered Calabi-Yau threefolds, using the intersection structure of the irreducible effective divisors on the base. These bases can be used for F-theory constructions of six-dimensional quantum supergravity theories. There are 61,539 distinct possible toric bases. 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 in terms of the toric data. The toric counting of parameters matches with the gravitational anomaly constraint on massless fields. For bases associated with theories having a large number of tensor multiplets, there is a large non-Higgsable gauge group containing multiple irreducible gauge group factors, particularly those having algebras e_8, f_4 and (g_2 + su(2)) with minimal (non-Higgsable) matter.

39 pages, 13 figures, one appendix; ancillary data file contains list of 61,539 bases; v2: minor correction

References in corpus (9)

• Flux Compactification
• Les Houches Lectures on Constructing String Vacua
• T-Branes and Monodromy
• Classifying bases for 6D F-theory models
• Global aspects of the space of 6D N = 1 supergravities
• Six-dimensional (1,0) effective action of F-theory via M-theory on Calabi-Yau threefolds
• 6D supergravity without tensor multiplets
• TASI Lectures on Supergravity and String Vacua in Various Dimensions
• Toric Construction of Global F-Theory GUTs

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