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Title: M-theory cosmology, octonions, error correcting codes
A bstract We study M-theory compactified on twisted 7-tori with G 2 -holonomy. The effective 4d supergravity has 7 chiral multiplets, each with a unit logarithmic Kähler potential. We propose octonion, Fano plane based superpotentials, codifying the error correcting Hamming (4, 7) code. The corresponding 7-moduli models have Minkowski vacua with one flat direction. We also propose superpotentials based on octonions/error correcting codes for Minkowski vacua models with two flat directions. We update phenomenological α -attractor models of inflation with 3 α = 7 , 6 , 5 , 4 , 3 , 1, based on inflation along these flat directions. These inflationary models reproduce the benchmark targets for detecting B-modes, predicting 7 different values of $$ r=12\alpha /{N}_e^2 $$ r = 12 α / N e 2 in the range 10 − 2 ≳ r ≳ 10 − 3 , to be explored by future cosmological observations.  more » « less
Award ID(s):
2014215
PAR ID:
10284227
Author(s) / Creator(s):
; ; ;
Date Published:
Journal Name:
Journal of High Energy Physics
Volume:
2021
Issue:
1
ISSN:
1029-8479
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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