M-theory cosmology, octonions, error correcting codes
Abstract 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 correspond...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2021)160 |
| _version_ | 1819176577752104960 |
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| author | Murat Gunaydin Renata Kallosh Andrei Linde Yusuke Yamada |
| author_facet | Murat Gunaydin Renata Kallosh Andrei Linde Yusuke Yamada |
| author_sort | Murat Gunaydin |
| collection | DOAJ |
| description | Abstract 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 α / N e 2 $$ r=12\alpha /{N}_e^2 $$ in the range 10 −2 ≳ r ≳ 10 −3, to be explored by future cosmological observations. |
| first_indexed | 2024-12-22T21:12:59Z |
| format | Article |
| id | doaj.art-35f87effb1584ea5a24bd67474fac4a3 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-22T21:12:59Z |
| publishDate | 2021-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-35f87effb1584ea5a24bd67474fac4a32022-12-21T18:12:27ZengSpringerOpenJournal of High Energy Physics1029-84792021-01-012021116010.1007/JHEP01(2021)160M-theory cosmology, octonions, error correcting codesMurat Gunaydin0Renata Kallosh1Andrei Linde2Yusuke Yamada3Stanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityStanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityStanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityStanford Institute for Theoretical Physics and Department of Physics, Stanford UniversityAbstract 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 α / N e 2 $$ r=12\alpha /{N}_e^2 $$ in the range 10 −2 ≳ r ≳ 10 −3, to be explored by future cosmological observations.https://doi.org/10.1007/JHEP01(2021)160Cosmology of Theories beyond the SMM-TheorySupergravity Models |
| spellingShingle | Murat Gunaydin Renata Kallosh Andrei Linde Yusuke Yamada M-theory cosmology, octonions, error correcting codes Journal of High Energy Physics Cosmology of Theories beyond the SM M-Theory Supergravity Models |
| title | M-theory cosmology, octonions, error correcting codes |
| title_full | M-theory cosmology, octonions, error correcting codes |
| title_fullStr | M-theory cosmology, octonions, error correcting codes |
| title_full_unstemmed | M-theory cosmology, octonions, error correcting codes |
| title_short | M-theory cosmology, octonions, error correcting codes |
| title_sort | m theory cosmology octonions error correcting codes |
| topic | Cosmology of Theories beyond the SM M-Theory Supergravity Models |
| url | https://doi.org/10.1007/JHEP01(2021)160 |
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