The Ftheory geometry with most flux vacua
Abstract
Applying the AshokDenefDouglas estimation method to elliptic CalabiYau fourfolds suggests that a single elliptic fourfold M_{max} gives rise to O(10^{272,000}) Ftheory flux vacua, and that the sum total of the numbers of flux vacua from all other Ftheory 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 nonHiggsable gauge group of E_{8}^{9} × F_{4}^{8} × (G _{2} × SU(2))^{16}, of which we expect some factors to be broken by Gflux 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 Ftheory and the types of dark matter to be found in a typical Ftheory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to Ftheory compactifications on M_{max}.
 Authors:

 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Publication Date:
 Research Org.:
 Massachusetts Inst. of Technology (MIT), Cambridge, MA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1237042
 Grant/Contract Number:
 SC0012567
 Resource 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 10298479
 Publisher:
 Springer Berlin
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; flux compactifications; FTheory; superstring vacua
Citation Formats
Taylor, Washington, and Wang, Yi Nan. The Ftheory geometry with most flux vacua. United States: N. p., 2015.
Web. doi:10.1007/JHEP12(2015)164.
Taylor, Washington, & Wang, Yi Nan. The Ftheory geometry with most flux vacua. United States. https://doi.org/10.1007/JHEP12(2015)164
Taylor, Washington, and Wang, Yi Nan. Mon .
"The Ftheory geometry with most flux vacua". United States. https://doi.org/10.1007/JHEP12(2015)164. https://www.osti.gov/servlets/purl/1237042.
@article{osti_1237042,
title = {The Ftheory geometry with most flux vacua},
author = {Taylor, Washington and Wang, Yi Nan},
abstractNote = {Applying the AshokDenefDouglas estimation method to elliptic CalabiYau fourfolds suggests that a single elliptic fourfold Mmax gives rise to O(10272,000) Ftheory flux vacua, and that the sum total of the numbers of flux vacua from all other Ftheory geometries is suppressed by a relative factor of O(10–3000). The fourfold Mmax arises from a generic elliptic fibration over a specific toric threefold base Bmax, and gives a geometrically nonHiggsable gauge group of E89 × F48 × (G 2 × SU(2))16, of which we expect some factors to be broken by Gflux to smaller groups. It is not possible to tune an SU(5) GUT group on any further divisors in Mmax, 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 Ftheory and the types of dark matter to be found in a typical Ftheory compactification, or as a challenge to string theorists to explain why other choices of vacua are not exponentially unlikely compared to Ftheory compactifications on Mmax.},
doi = {10.1007/JHEP12(2015)164},
journal = {Journal of High Energy Physics (Online)},
number = 12,
volume = 2015,
place = {United States},
year = {2015},
month = {12}
}
Web of Science
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