Narain CFTs and error-correcting codes on finite fields

A bstract 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 polyn...

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Published inThe journal of high energy physics Vol. 2022; no. 8; pp. 58 - 21
Main Author Yahagi, Shinichiro
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.08.2022
Springer Nature B.V
SpringerOpen
Subjects
Bosonic Strings
Classical and Quantum Gravitation
Codes
Elementary Particles
Error correcting codes
Error correction
Error correction & detection
Fields (mathematics)
High energy physics
Lattices
Partitions (mathematics)
Physics
Physics and Astronomy
Polynomials
Quantum Field Theories
Quantum Field Theory
Quantum Physics
Regular Article - Theoretical Physics
Relativity Theory
String Duality
String Theory
String Duality
Bosonic Strings
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ISSN1029-8479
1029-8479
DOI10.1007/JHEP08(2022)058

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Summary:A bstract 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.
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ISSN:1029-8479
1029-8479
DOI:10.1007/JHEP08(2022)058