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arXiv · 2308.12592

Elliptic genera from classical error-correcting codes

Kohki Kawabata·Shinichiro Yahagi
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Abstract

We consider chiral fermionic conformal field theories constructed from classical error-correcting codes and provide a systematic way of computing their elliptic genera. We exploit the $\mathrm{U}(1)$ current of the $\mathcal{N}=2$ superconformal algebra to obtain the $\mathrm{U}(1)$-graded partition function that is invariant under the modular transformation and the spectral flow. We demonstrate our method by constructing extremal $\mathcal{N}=2$ elliptic genera from classical codes for relatively small central charges. Also, we give near-extremal elliptic genera and decompose them into $\mathcal{N}=2$ superconformal characters.

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Kohki Kawabata, Shinichiro Yahagi. 2023-08-24. Elliptic genera from classical error-correcting codes. https://arxiv.org/abs/2308.12592

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