Non-rational Narain CFTs from codes over $F_4$

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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Cited by in corpus (5)

• Narain CFTs and error-correcting codes on finite fields
• Narain CFTs and Quantum Codes at Higher Genus
• Classical Codes and Chiral CFTs at Higher Genus
• Relation between spectra of Narain CFTs and properties of associated boolean functions
• Fake Z