### The F-theory geometry with most flux vacua

_{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 E

_{8}

^{9}× F

_{4}

^{8}× (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 E

_{8}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}.

- Publication Date:

- OSTI Identifier:
- 1237042

- Grant/Contract Number:
- SC0012567

- Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 12; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Research Org:
- Massachusetts Institute of Technology, Cambridge, MA (United States)

- Sponsoring Org:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS flux compactifications; F-Theory; superstring vacua