Non-rational Narain CFTs from codes over F 4

Anatoly Dymarsky, Adar Sharon

Research output: Contribution to journalArticlepeer-review

8 Scopus citations


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.

Original languageEnglish
Article number16
JournalJournal of High Energy Physics
Issue number11
StatePublished - Nov 2021

Bibliographical note

Publisher Copyright:
© 2021, The Author(s).


  • Conformal Field Theory
  • Field Theories in Lower Dimensions

ASJC Scopus subject areas

  • Nuclear and High Energy Physics


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