精化几何变换与$qq$ -特征标
Refined geometric transition and $qq$-characters
摘要：
我们展示了精化拓扑弦论中几何跃迁的精化处方，并作为其应用，讨论了从弦论的观点描述$qq$ -特征的可能性。虽然所建议的方法来操作精细的几何过渡已经通过了几个检查，它是另外发现，在本文中，优选方向的存在带来了一个不平凡的效果。我们给出了包含这一点的修正公式。然后，我们应用我们的处方的精细几何过渡提出的字符串描述的双重量化Seiberg-Witten曲线称为$qq$ -字符在某些情况下。
英文摘要：
We show the refinement of the prescription for the geometric transition in the refined topological string theory and, as its application, discuss a possibility to describe $qq$-characters from the string theory point of view. Though the suggested way to operate the refined geometric transition has passed through several checks, it is additionally found in this paper that the presence of the preferred direction brings a nontrivial effect. We provide the modified formula involving this point. We then apply our prescription of the refined geometric transition to proposing the stringy description of doubly quantized Seiberg--Witten curves called $qq$-characters in certain cases.
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