The F-theory geometry with most flux vacua
By Washington Taylor, Yi-Nan Wang. 2015
146 citations recorded by the source corpus.
A bstractApplying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold ℳmax$$ {\mathrm{\mathcal{M}}}_{\max } $$ gives rise to O10272,000$$ \mathcal{O}\left({10}^{272,000}\right) $$ F-theory flux vacua, and that the sum total of the numbers of flux vacua from all other F-theory geometries is suppressed by a relative factor of O10−3000$$ \mathcal{O}\left({10}^{-3000}\right) $$. The fourfold ℳmax$$ {\mathrm{\mathcal{M}}}_{\max } $$ arises from a generic elliptic fibration over a specific toric threefold base Bmax, and gives a geometrically non-Higgsable gauge group of E89 × F48 × (G2 × SU(2))16, of which we expect some factors to be broken by G-flux to smaller groups. It is not possible to tune an SU(5) GUT group on any further divisors in ℳmax$$ {\mathrm{\mathcal{M}}}_{\max } $$, or even an SU(2) or SU(3), so the standard model gauge group appears to arise in this context only from a broken E8 factor. The results of this paper can either be interpreted as providing a framework for predicting how the standard model arises most naturally in F-theory and the types of dark matter to be found in a typical F-theory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to F-theory compactifications on ℳmax$$ {\mathrm{\mathcal{M}}}_{\max } $$.
Subfields: Mathematical Physics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/54e42c54d56ffacde9cc81e47c4a682406fe78ff
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Citations in the corpus
- The String Landscape, the Swampland, and the Missing Corner (2017, background): “It has recently been estimated that the number of possible consistent flux compactifications of F-theory to 4D is at least 10272000 [61].”