Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
Fivebrane instantons, topological wave functions and hypermultiplet moduli spaces
复制标题
五膜瞬子、拓扑波函数和超多重态模空间
DOI：
10.1007/jhep03(2011)111
复制
发表时间：
2010
影响因子：
5.4
通讯作者：
B. Pioline
中科院分区：
文献类型：
--
作者：
S. Alexandrov;D. Persson;B. Pioline
我们研究了 II 型弦理论 Calabi-Yau 紧化中超多重态模空间 $ \mathcal{M} $ 的量子修正，特别强调欧几里德 NS5 膜的瞬子效应。基于 D-和 NS5-瞬时校正的一致性，我们确定了固定弦耦合下超多重态模空间的拓扑，如 [1] 中所预览。在 IIB 型方面，我们通过将 S-对偶性应用于 D-瞬时和来计算 (p, k)-五膜瞬时子对 $ \mathcal{M} $ 上度量的校正（具体来说，对其扭转空间 $ \mathcal{Z} $ 上的复杂接触结构的校正）。对于固定的五膜电荷 k，校正可以写为非高斯 theta 级数，其 k = 1 的被加数减少到拓扑 A 模型振幅。通过镜像对称，由手性 IIA NS5 膜引起的瞬时校正同样受拓扑 B 模型的波函数控制。在这项研究的过程中，我们阐明了相干滑轮的电荷量子化，并发现了迄今为止未被注意到的对 $ \mathcal{M} $ 上的海森堡、单性和 S-对偶作用的修正，以及 Ramond-Ramond 场和 D-膜电荷的镜像图。
We investigate quantum corrections to the hypermultiplet moduli space $ \mathcal{M} $ in Calabi-Yau compactifications of type II string theories, with particular emphasis on instanton effects from Euclidean NS5-branes. Based on the consistency of D- and NS5-instanton corrections, we determine the topology of the hypermultiplet moduli space at fixed string coupling, as previewed in [1]. On the type IIB side, we compute corrections from (p, k)-fivebrane instantons to the metric on $ \mathcal{M} $ (specifically, the correction to the complex contact structure on its twistor space $ \mathcal{Z} $) by applying S-duality to the D-instanton sum. For fixed fivebrane charge k, the corrections can be written as a non-Gaussian theta series, whose summand for k = 1 reduces to the topological A-model amplitude. By mirror symmetry, instanton corrections induced from the chiral type IIA NS5-brane are similarly governed by the wave function of the topological B-model. In the course of this investigation we clarify charge quantization for coherent sheaves and find hitherto unnoticed corrections to the Heisenberg, monodromy and S-duality actions on $ \mathcal{M} $, as well as to the mirror map for Ramond-Ramond fields and D-brane charges.