论文标题
返回啤酒空间上的异性弦：第二部分 - T偶的小字符串的几何形状
Back to Heterotic Strings on ALE Spaces: Part II -- Geometry of T-dual Little Strings
论文作者
论文摘要
这项工作是一系列论文中的第二份，用于重新审视杂弦压缩在啤酒空间上的特性。在这个项目中，我们研究了杂种ALE Instantonic小弦理论（LSTS）之间的T-二维理论中的几何对应物，该基础扩展了Aspinwall和Morrison对该主题的先前结果。由于T偶数是由圆的减少产生的，因此可以利用F理论和M理论之间的二元性来探索较大的模量空间，其中T偶数被认为是相同几何形状的不相等的椭圆纤维。正如杂种/F理论二元性所预期的那样，椭圆F理论的calabi-yau我们认为接受嵌套的椭圆形K3纤维化结构。这对于我们的构建至关重要：K3纤维确定了风味群及其全球形式，并且是识别各种T偶数的关键。我们指出，这种方法对于由非几何异质背景引起的LST也更为普遍。我们研究了一个详细的第一个示例：由极端的K3表面建造的一类特别异国情调的LST，该表面允许具有最大等级18的风味组。我们发现所有模型均通过所谓的T-HEXALITY（即T-HEXITALY（即6倍）的T-二维家族）相关（即我们从极端k3的极端椭圆形纤维纤维中预测，这些模型都可以预测。
This work is the second of a series of papers devoted to revisiting the properties of Heterotic string compactifications on ALE spaces. In this project we study the geometric counterpart in F-theory of the T-dualities between Heterotic ALE instantonic Little String Theories (LSTs) extending and generalising previous results on the subject by Aspinwall and Morrison. Since the T-dualities arise from a circle reduction one can exploit the duality between F-theory and M-theory to explore a larger moduli space, where T-dualities are realised as inequivalent elliptic fibrations of the same geometry. As expected from the Heterotic/F-theory duality the elliptic F-theory Calabi-Yau we consider admit a nested elliptic K3 fibration structure. This is central for our construction: the K3 fibrations determine the flavor groups and their global forms, and are the key to identify various T-dualities. We remark that this method works also more generally for LSTs arising from non-geometric Heterotic backgrounds. We study a first example in detail: a particularly exotic class of LSTs which are built from extremal K3 surfaces that admit flavor groups with maximal rank 18. We find all models are related by a so-called T-hexality (i.e. a 6-fold family of T-dualities) which we predict from the inequivalent elliptic fibrations of the extremal K3.
