论文标题
不朽对起的细化和模块化
Refinement and modularity of immortal dyons
论文作者
论文摘要
扩展$ {\ cal n} = 2 $字符串压缩的最新结果，我们建议通过精制BPS索引的生成函数的模块化完成所满足的骨膜异常方程的通用结构，其数字$ {\ cal n} $ supersymmetries的数字$ {\ cal n} $。我们表明，该方程允许在$ {\ cal n} = 4 $ string理论中恢复BPS状态的所有已知结果（在$ sl（2，\ Mathbb {z}）$ duality组）中。特别是，我们重现了表征四分之一bps dyon的模拟模块化行为的全态异常，并将其推广到非平凡扭转的情况下。
Extending recent results in ${\cal N}=2$ string compactifications, we propose that the holomorphic anomaly equation satisfied by the modular completions of the generating functions of refined BPS indices has a universal structure independent of the number ${\cal N}$ of supersymmetries. We show that this equation allows to recover all known results about modularity (under $SL(2,\mathbb{Z})$ duality group) of BPS states in ${\cal N}=4$ string theory. In particular, we reproduce the holomorphic anomaly characterizing the mock modular behavior of quarter-BPS dyons and generalize it to the case of non-trivial torsion invariant.
