M-theory cosmology, octonions, error correcting codes

Murat Gunaydin, Renata Kallosh, Andrei Linde, Yusuke Yamada

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

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=12α/Ne2 in the range 10−2 ≳ r ≳ 10−3, to be explored by future cosmological observations.

Original languageEnglish (US)
Article number160
JournalJournal of High Energy Physics
Volume2021
Issue number1
DOIs
StatePublished - Jan 2021

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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