论文标题
Narain CFT和有限字段上的错误校正代码
Narain CFTs and error-correcting codes on finite fields
论文作者
论文摘要
我们通过有限字段$ f_p $在任何prime $ p> 2 $的自d-dual lattices上构建Narain CFT。使用此对应关系，我们可以将CFT的光谱间隙和分区函数与误差校正能力以及代码的扩展枚举多项式相关联。特别是，我们计算由代码构建的CFT的特定光谱间隙，并将它们与所有Narain CFT中最大的光谱间隙进行比较。
We construct Narain CFTs from self-dual codes on the finite field $F_p$ through even self-dual lattices for any prime $p>2$. Using this correspondence, we can relate the spectral gap and the partition function of the CFT to the error correction capability and the extended enumerator polynomial of the code. In particular, we calculate specific spectral gaps of CFTs constructed from codes and compare them with the largest spectral gap among all Narain CFTs.
