M-theory cosmology, octonions, error correcting codes

Author:

Gunaydin Murat,Kallosh Renata,Linde Andrei,Yamada YusukeORCID

Abstract

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 $$ r=12\alpha /{N}_e^2 $$ r = 12 α / N e 2 in the range 102r ≳ 103, to be explored by future cosmological observations.

Publisher

Springer Science and Business Media LLC

Subject

Nuclear and High Energy Physics

Cited by 11 articles. 订阅此论文施引文献 订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献

1. α -attractor inflation: Models and predictions;Physical Review D;2023-05-25

2. Narain CFTs and quantum codes at higher genus;Journal of High Energy Physics;2023-04-03

3. Supersymmetric dS n solutions for n ⩾ 5in D = 11 supergravity;Journal of Physics A: Mathematical and Theoretical;2022-08-15

4. Listening to Celestial Algebras;Universe;2022-08-03

5. Hybrid cosmological attractors;Physical Review D;2022-07-22

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