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arXiv · 2107.02816

Non-rational Narain CFTs from codes over $F_4$

Anatoly Dymarsky·Adar Sharon
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Abstract

We construct a map between a class of codes over $F_4$ and a family of non-rational Narain CFTs. This construction is complementary to a recently introduced relation between quantum stabilizer codes and a class of rational Narain theories. From the modular bootstrap point of view we formulate a polynomial ansatz for the partition function which reduces modular invariance to a handful of algebraic easy-to-solve constraints. For certain small values of central charge our construction yields optimal theories, i.e. those with the largest value of the spectral gap.

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BibTeXRIS

Anatoly Dymarsky, Adar Sharon. 2021-07-06. Non-rational Narain CFTs from codes over $F_4$. https://doi.org/10.1007/jhep11(2021)016

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