The F-theory geometry with most flux vacua

Taylor, Washington; Wang, Yi -Nan

doi:10.1007/JHEP12(2015)164

Title: The F-theory geometry with most flux vacua

Journal Article · 28 December 2015 · Journal of High Energy Physics (Online)

DOI: https://doi.org/10.1007/JHEP12(2015)164 · OSTI ID:1237042

Taylor, Washington ^[1]; Wang, Yi -Nan ^[1]

Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Applying the Ashok-Denef-Douglas estimation method to elliptic Calabi-Yau fourfolds suggests that a single elliptic fourfold M_max gives rise to O(10^272,000) 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 O(10^–3000). The fourfold M_max arises from a generic elliptic fibration over a specific toric threefold base B_max, and gives a geometrically non-Higgsable gauge group of E₈⁹ × F₄⁸ × (G ₂ × 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 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. Furthermore, 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 M_max.

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Research Organization:: Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)

Sponsoring Organization:: USDOE Office of Science (SC), High Energy Physics (HEP)

Grant/Contract Number:: SC0012567

OSTI ID:: 1237042

Journal Information:: Journal of High Energy Physics (Online), Vol. 2015, Issue 12; ISSN 1029-8479

Publisher:: Springer BerlinCopyright Statement

Country of Publication:: United States

Language:: English

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Cited by: 82 works

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