2023/08/24 by Kohki Kawabata, Kawabata, Kohki, Shinichiro Yahagi +1
Computer Science · Engineering · #Advanced Numerical Methods in Computational Mathematics #Cryptography and Residue Arithmetic #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Polynomial and algebraic computation
paper · pdf · doi:10.48550/arxiv.2308.12592
openalex publication_date 2023/08/24 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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 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 N=2 elliptic genera from classical codes for relatively small central charges. Also, we give near-extremal elliptic genera and decompose them into N=2 superconformal characters.