M-theory Cosmology, Octonions, Error Correcting Codes - INSPIRE

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M-theory Cosmology, Octonions, Error Correcting Codes

Murat Gunaydin
(
- Stanford U., ITP and
- Penn State U., University Park, IGC
)
,
Renata Kallosh
(
- Stanford U., ITP
)
,
Andrei Linde
(
- Stanford U., ITP
)
,
Yusuke Yamada
(
- Stanford U., ITP and
- Tokyo U., RESCEU
)

Aug 1, 2020

63 pages

Published in:

JHEP 01 (2021) 160

Published: Jan 26, 2021

e-Print:

2008.01494 [hep-th]

DOI:

10.1007/JHEP01(2021)160

Report number:

RESCEU-14/20

View in:

reference search17 citations

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Abstract: (Springer)

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 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.

Note:

63 pages, 25 figures, v2: comments added, typos fixed, v3: improved formulation presented in Sec.7 and refs added. The new formulation does not change inflationary predictions, but the potentials for decoupled heavy modes are simplified compared with the ones in the previous versions •
Submitted to JHEP

Cosmology of Theories beyond the SM
M-Theory
Supergravity Models
inflation: model
vacuum state: Minkowski
M-theory: compactification
torus: twist
octonion
superpotential
supergravity

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