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Non-rational Narain CFTs from codes over $F_4$

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arxiv 2107.02816 v1 pith:A55JRR5W submitted 2021-07-06 hep-th cs.ITmath.ITquant-ph

Anatoly Dymarsky , Adar Sharon This is my paper · ORCID
classification hep-thcs.ITmath.ITquant-ph
keywords codesnaraincftsclassconstructionmodularnon-rationaltheories
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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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    Odd Lagrangian subgroups of the discriminant group of an abelian Chern-Simons theory give fermionic CFTs whose spectra are an NS lattice and its shadow, yielding new fermionic code CFTs and a classification of supersy...

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