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首页> 外文期刊>Advances in Mathematical Physics >Niemeier Lattices in the Free Fermionic Heterotic-String Formulation
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Niemeier Lattices in the Free Fermionic Heterotic-String Formulation

机译：在自由的Fermionic yegoric-String配方中的Niemeier格子

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摘要

The spinor-vector duality was discovered in free fermionic constructions of the heterotic string in four dimensions. It played a key role in the construction of heterotic-string models with an anomaly-free extra Z' symmetry that may remain unbroken down to low energy scales. A generic signature of the low scale string derived Z' model is via diphoton excess that may be within reach of the LHC. A fascinating possibility is that the spinor-vector duality symmetry is rooted in the structure of the heterotic-string compactifications to two dimensions. The two-dimensional heterotic-string theories are in turn related to the so-called moonshine symmetries that underlie the two-dimensional compactifications. In this paper, we embark on exploration of this connection by the free fermionic formulation to classify the symmetries of the two-dimensional heterotic-string theories. We use two complementary approaches in our classification. The first utilises a construction which is akin to the one used in the spinor-vector duality. Underlying this method is the triality property of SO(8) representations. In the second approach, we use the free fermionic tools to classify the twenty-four-dimensional Niemeier lattices.
机译：在四个维度的单次异形串的自由差异结构中发现了锭丝矢量二元性。它在具有异常无异常的额外Z'对称的异端串模型中发挥了关键作用，这些额外的Z'对称性可以保持不间断的低能量尺度。低尺度字符串派生Z'模型的通用签名是通过Diphoton超出的，可以在LHC的范围内。令人着迷的可能性是旋锭 - 矢量二元性对称性植根于异解 - 串的结构压缩到两个维度。二维异质串理论又与所谓的月亮对称性有关，使其具有二维压缩。在本文中，我们通过自由的Fermionic制剂探索这种联系，分类二维异质串理论的对称性。我们在分类中使用了两种补充方法。首先利用旋转矢量二元性中使用的结构的结构。底层此方法是所以（8）表示的试用性财产。在第二种方法中，我们使用免费的Fermionic工具来分类二十四维Niemeier格子。

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