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.
|Journal||Journal of High Energy Physics|
|State||Published - Nov 2021|
Bibliographical notePublisher Copyright:
© 2021, The Author(s).
- Conformal Field Theory
- Field Theories in Lower Dimensions
ASJC Scopus subject areas
- Nuclear and High Energy Physics