Narain CFTs and error-correcting codes on finite fields
Abstract We construct Narain CFTs from self-dual codes on the finite field F p through even self-dual lattices for any prime p > 2. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability and the extended enumerator polyno...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP08(2022)058 |
| _version_ | 1798037999529754624 |
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| author | Shinichiro Yahagi |
| author_facet | Shinichiro Yahagi |
| author_sort | Shinichiro Yahagi |
| collection | DOAJ |
| description | Abstract We construct Narain CFTs from self-dual codes on the finite field F p through even self-dual lattices for any prime p > 2. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability and the extended enumerator polynomial of the code. In particular, we calculate specific spectral gaps of CFTs constructed from codes and compare them with the largest spectral gap among all Narain CFTs. |
| first_indexed | 2024-04-11T21:34:14Z |
| format | Article |
| id | doaj.art-b7945d515c8c43f7bf6df5ac249e7644 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-11T21:34:14Z |
| publishDate | 2022-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-b7945d515c8c43f7bf6df5ac249e76442022-12-22T04:01:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-08-012022812110.1007/JHEP08(2022)058Narain CFTs and error-correcting codes on finite fieldsShinichiro Yahagi0Department of Physics, The University of TokyoAbstract We construct Narain CFTs from self-dual codes on the finite field F p through even self-dual lattices for any prime p > 2. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability and the extended enumerator polynomial of the code. In particular, we calculate specific spectral gaps of CFTs constructed from codes and compare them with the largest spectral gap among all Narain CFTs.https://doi.org/10.1007/JHEP08(2022)058Bosonic StringsString Duality |
| spellingShingle | Shinichiro Yahagi Narain CFTs and error-correcting codes on finite fields Journal of High Energy Physics Bosonic Strings String Duality |
| title | Narain CFTs and error-correcting codes on finite fields |
| title_full | Narain CFTs and error-correcting codes on finite fields |
| title_fullStr | Narain CFTs and error-correcting codes on finite fields |
| title_full_unstemmed | Narain CFTs and error-correcting codes on finite fields |
| title_short | Narain CFTs and error-correcting codes on finite fields |
| title_sort | narain cfts and error correcting codes on finite fields |
| topic | Bosonic Strings String Duality |
| url | https://doi.org/10.1007/JHEP08(2022)058 |
| work_keys_str_mv | AT shinichiroyahagi naraincftsanderrorcorrectingcodesonfinitefields |