arXiv:2107.02816 · Journal of High Energy Physics

Non-rational Narain CFTs from codes over F4

Anatoly Y. Dymarsky, Adar Sharon

Published Nov 1, 2021• 29 citations

Abstract

Abstract We construct a map between a class of codes over F4 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.

DOI: 10.1007/jhep11(2021)016

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