The Ω Deformed B-model for Rigid N = 2 Theories
The Ω Deformed B-model for Rigid N = 2 Theories
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DOI：
10.1007/s00023-012-0192-x
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发表时间：
2011-09
期刊：
影响因子：
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通讯作者：
Min-xin Huang;A. Kashani-Poor;A. Klemm
中科院分区：
文献类型：
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作者：
Min-xin Huang;A. Kashani-Poor;A. Klemm
我们给出了Ω变形B模型的一个解释，它自然地导出了广义全纯反常方程。后者的直接积分计算的拓扑振幅的四维rigidN= 2理论明确在一般Ω-背景的模块形式。这些振幅编码的改进BPS频谱以及新的引力耦合的有效作用ofN= 2超对称理论。本文研究的刚性N = 2场论是共形秩为1的N = 2 Seiberg-Witten场论。在共形情形下，全纯性的失效是比较温和的，但是只有在质量变形的情况下才有可能修正全纯性的模糊性。无论拉格朗日公式是否存在，我们的形式主义都适用。在局部Calabi-Yau流形上紧化的刚性N = 2理论类中，我们考虑局部的紧化理论。我们计算motivic唐纳森-托马斯不变量的几何形状和广义Gromov-Witten不变量的轨道点的预测。
We give an interpretation of the Ω deformedB-model that leads naturally to the generalized holomorphic anomaly equations. Direct integration of the latter calculates topological amplitudes of four-dimensional rigidN= 2 theories explicitly in general Ω-backgrounds in terms of modular forms. These amplitudes encode the refined BPS spectrum as well as new gravitational couplings in the effective action ofN= 2 supersymmetric theories. The rigidN= 2 field theories we focus on are the conformal rank oneN= 2 Seiberg–Witten theories. The failure of holomorphicity is milder in the conformal cases, but fixing the holomorphic ambiguity is only possible upon mass deformation. Our formalism applies irrespectively of whether a Lagrangian formulation exists. In the class of rigidN= 2 theories arising from compactifications on local Calabi–Yau manifolds, we consider the theory of local. We calculate motivic Donaldson–Thomas invariants for this geometry and make predictions for generalized Gromov–Witten invariants at the orbifold point.