Narain CFTs and error-correcting codes on finite fields
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Publication:6394225
DOI10.1007/JHEP08(2022)058arXiv2203.10848MaRDI QIDQ6394225
Publication date: 21 March 2022
Abstract: We construct Narain CFTs from self-dual codes on the finite field through even self-dual lattices for any prime . 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.
Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Other types of codes (94B60) Arithmetic codes (94B40) Computational stability and error-correcting codes for quantum computation and communication processing (81P73)
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