论文标题
代码的最佳Narain CFT
Optimal Narain CFTs from Codes
论文作者
论文摘要
最近建立的添加剂代码和Narain CFTS之间的连接为具有特殊属性的理论提供了一种新工具，并通过将它们减少为代数身份来求解模块化自举约束。我们将先前的结构推广到包括许多新理论，特别是我们表明，所有已知的最佳Narain理论，即最大化光谱差距的价值的理论，都可以从代码中构建。对于渐近较大的中央电荷$ c $，我们显示有代码理论，频谱差距与$ c $线性增长，系数饱和了指出的上限。因此，我们猜测，可以从代码中获得任何值的最佳Narain理论。
Recently established connection between additive codes and Narain CFTs provides a new tool to construct theories with special properties and solve modular bootstrap constraints by reducing them to algebraic identities. We generalize previous constructions to include many new theories, in particular we show that all known optimal Narain theories, i.e. those maximizing the value of spectral gap, can be constructed from codes. For asymptotically large central charge $c$ we show there are code theories with the spectral gap growing linearly with $c$, with the coefficient saturating the conjectural upper bound. We therefore conjecture that optimal Narain theories for any value of $c$ can be obtained from codes.
