The F-theory geometry with most flux vacua
A bstract 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 rel...
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Published in | The journal of high energy physics Vol. 2015; no. 12; pp. 1 - 21 |
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Main Authors | , |
Format | Journal Article |
Language | English |
Published |
Berlin/Heidelberg
Springer Berlin Heidelberg
01.12.2015
Springer Berlin |
Subjects | |
Online Access | Get full text |
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Summary: | A
bstract
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
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. 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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Bibliography: | ObjectType-Article-1 SourceType-Scholarly Journals-1 ObjectType-Feature-2 content type line 23 SC0012567 USDOE Office of Science (SC), High Energy Physics (HEP) |
ISSN: | 1029-8479 1029-8479 |
DOI: | 10.1007/JHEP12(2015)164 |