Non-rational Narain CFTs from codes over $F_4$
High Energy Physics - Theory
2021-11-23 v1 Information Theory
math.IT
Quantum Physics
Abstract
We construct a map between a class of codes over 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.
Cite
@article{arxiv.2107.02816,
title = {Non-rational Narain CFTs from codes over $F_4$},
author = {Anatoly Dymarsky and Adar Sharon},
journal= {arXiv preprint arXiv:2107.02816},
year = {2021}
}