Non-critical strings, del Pezzo singularities and Seiberg-Witten curves
Non-critical strings, del Pezzo singularities and Seiberg-Witten curves
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DOI：
10.1016/s0550-3213(97)00312-x
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发表时间：
1996-12
期刊：
影响因子：
--
通讯作者：
W. Lerche;P. Mayr;N. Warner
中科院分区：
文献类型：
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作者：
W. Lerche;P. Mayr;N. Warner
研究了具有消失4环奇点的四维II型Calabi-Yau紧化的极限，它是e8对称的六维非临界弦的2型紧化的对偶。我们定义了完整弦理论的适当子扇区，它们可以一致地解耦。这样我们就得到了具有本质弦谱的刚性有效理论。在几何上，模空间对应于某种形式有趣的非紧Calabi-Yau空间的特殊几何。一个等价的描述可以用Seiberg-Witten曲线给出，该曲线由椭圆简单奇点和一种特殊的亚纯微分选择给出。我们推测模空间描述了非微扰非临界弦理论。
We study limits of four-dimensional type II Calabi-Yau compactifications with vanishing 4-cycle singularities, which are dual to T2compactifications of the six-dimensional non-critical string with E8symmetry. We define proper sub-sectors of the full string theory, which can be consistently decoupled. In this way we obtain rigid effective theories that have an intrinsically stringy BPS spectrum. Geometrically the moduli spaces correspond to special geometry of certain non-compact Calabi-Yau spaces of an intriguing form. An equivalent description can be given in terms of Seiberg-Witten curves, given by the elliptic simple singularities together with a peculiar choice of meromorphic differentials. We speculate that the moduli spaces describe non-perturbative non-critical string theories.