Journal of High Energy Physics (Nov 2021)

Non-rational Narain CFTs from codes over F 4

  • Anatoly Dymarsky,
  • Adar Sharon

DOI
https://doi.org/10.1007/JHEP11(2021)016
Journal volume & issue
Vol. 2021, no. 11
pp. 1 – 34

Abstract

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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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