论文标题
CHL黑洞中丢失的章节：$ \ Mathbb {Z} _2 $模型中的未WIST四分之一bps dyon
Lost Chapters in CHL Black Holes: Untwisted Quarter-BPS Dyons in the $\mathbb{Z}_2$ Model
论文作者
论文摘要
在唐纳森 - 托马斯理论的最新进展中，四维$ \ mathcal {n} = 4 $ string-string二重性在较低的级别的BPS扇区中的降级理论中进行了研究。特别是，我们通过研究了Dabholkar和Gaiotto的M Breation Lift Crignt，通过研究了相关的手性属二分分函数来确定“未扭转”四分之一bps dyon的候选四分之一bps dyons dyons dyons dyons dyons dyons中的“杂种” $ \ mathbb {z} _2 $ chl模型。 This yields meromorphic Siegel modular forms for the Iwahori subgroup $B(2) \subset \text{Sp}_4 (\mathbb{Z}) $ which generate BPS indices for dyons with untwisted sector electric charge, in contrast to twisted sector dyons counted by a multiplicative lift of twisted-twining elliptic genera known from Mathieu moonshine.新的分区函数显示出满足来自墙壁交叉和S偶尔对称性产生的预期约束，以及在有效动作中基于高斯 - 骨网术语的黑洞熵。在这些方面，我们的分析证实并扩展了Banerjee，Sen和Srivastava的工作，该工作仅针对此处考虑的未介绍部门dyon的子集。我们的结果也与最近猜想的Bryan和Oberdieck的公式进行了比较，该公式在Chl Orbifold $ x =（\ text {k3} \ times t^2）/ \ mathbb {z} _2 _2 $的分区函数中的分区函数。
Motivated by recent advances in Donaldson-Thomas theory, four-dimensional $\mathcal{N}=4$ string-string duality is examined in a reduced rank theory on a less studied BPS sector. In particular we identify candidate partition functions of "untwisted" quarter-BPS dyons in the heterotic $\mathbb{Z}_2$ CHL model by studying the associated chiral genus two partition function, based on the M-theory lift of string webs argument by Dabholkar and Gaiotto. This yields meromorphic Siegel modular forms for the Iwahori subgroup $B(2) \subset \text{Sp}_4 (\mathbb{Z}) $ which generate BPS indices for dyons with untwisted sector electric charge, in contrast to twisted sector dyons counted by a multiplicative lift of twisted-twining elliptic genera known from Mathieu moonshine. The new partition functions are shown to satisfy the expected constraints coming from wall-crossing and S-duality symmetry as well as the black hole entropy based on the Gauss-Bonnet term in the effective action. In these aspects our analysis confirms and extends work of Banerjee, Sen and Srivastava, which only addressed a subset of the untwisted sector dyons considered here. Our results are also compared with recently conjectured formulae of Bryan and Oberdieck for the partition functions of primitive DT invariants of the CHL orbifold $X=( \text{K3} \times T^2 )/ \mathbb{Z}_2$, as suggested by string duality with type IIA theory on $X$.
