arXiv 1508.014772015-08-06hep-th

精化拓扑振幅的模依赖性探讨

Probing the Moduli Dependence of Refined Topological Amplitudes

Ignatios Antoniadis, Ioannis Florakis, Stefan Hohenegger, K. S. Narain, Ahmad Zein Assi

备注：: 30 pages
发表信息：: Nuclear Physics, Section B (2015), pp. 252-281
DOI：: 10.1016/j.nuclphysb.2015.10.016

摘要：

为了提供一个精确的拓扑弦的世界表描述，我们继续研究一类特殊的高阶导数耦合$F_{g,n}$在卡-丘三重上紧化的II型弦有效作用。我们分析一阶微分方程的反全纯模的理论，其中涉及的$F_{g,n}$其他组件的耦合。从拓扑理论的观点来看，这些方程描述了非物理状态对扭曲关联函数的贡献，并对将$F_{g,n}$解释为精细拓扑弦论的自由能造成了障碍。我们调查的可能性，解除这一障碍，制定条件下的微分方程简化和广义全纯异常方程的形式的模量依赖。我们进一步测试这种方法对明确的计算在对偶杂种优势理论。

英文摘要：

With the aim of providing a worldsheet description of the refined topological string, we continue the study of a particular class of higher derivative couplings $F_{g,n}$ in the type II string effective action compactified on a Calabi-Yau threefold. We analyse first order differential equations in the anti-holomorphic moduli of the theory, which relate the $F_{g,n}$ to other component couplings. From the point of view of the topological theory, these equations describe the contribution of non-physical states to twisted correlation functions and encode an obstruction for interpreting the $F_{g,n}$ as the free energy of the refined topological string theory. We investigate possibilities of lifting this obstruction by formulating conditions on the moduli dependence under which the differential equations simplify and take the form of generalised holomorphic anomaly equations. We further test this approach against explicit calculations in the dual heterotic theory.

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