Abstract
We study M-theory compactified on twisted 7-tori with G2-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 3α = 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 \( r=12\alpha /{N}_e^2 \) in the range 10−2 ≳ r ≳ 10−3, to be explored by future cosmological observations.
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Gunaydin, M., Kallosh, R., Linde, A. et al. M-theory cosmology, octonions, error correcting codes. J. High Energ. Phys. 2021, 160 (2021). https://doi.org/10.1007/JHEP01(2021)160
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DOI: https://doi.org/10.1007/JHEP01(2021)160