Elliptic genera from classical error-correcting codes. (English) Zbl 07821613
Summary: We consider chiral fermionic conformal field theories constructed from classical error-correcting codes and provide a systematic way of computing their elliptic genera. We exploit the U(1) current of the \(\mathcal{N} = 2\) superconformal algebra to obtain the U(1)-graded partition function that is invariant under the modular transformation and the spectral flow. We demonstrate our method by constructing extremal \(\mathcal{N} = 2\) elliptic genera from classical codes for relatively small central charges. Also, we give near-extremal elliptic genera and decompose them into \(\mathcal{N} = 2\) superconformal characters.
MSC:
| 81-XX | Quantum theory |
Keywords:
field theories in lower dimensions; superstrings and heterotic strings; scale and conformal symmetriesReferences:
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