M-theory cosmology, octonions, error correcting codes

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 Kahler 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 alpha -attractor models of inflation with 3 alpha = 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 /Ne2 in the range 10(-2) greater than or similar to r greater than or similar to 10(-3), to be explored by future cosmological observations.

Automated summary

This study investigates M-theory compactification on twisted 7-tori with G(2)-holonomy, proposing superpotentials based on octonions and Fano planes to describe various vacuum states and inflation models. The research suggests that these models can predict benchmark targets for detecting B-modes in future cosmological observations.