SUPERCONFORMAL SYMMETRY AND GEOMETRY OF RICCI-FLAT KÄHLER MANIFOLDS
SUPERCONFORMAL SYMMETRY AND GEOMETRY OF RICCI-FLAT KÄHLER MANIFOLDS
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RICCI 平面凯勒流形的超共形对称性和几何形状
DOI：
10.1142/s0217751x89001801
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发表时间：
1989
影响因子：
1.6
通讯作者：
H. Ooguri
中科院分区：
文献类型：
--
作者：
H. Ooguri
超对称非线性σ-模型为我们研究紧化空间上超弦的动力学提供了一个工具。如果紧化空间是Ricci平坦的Kahler流形，则非线性σ-模型具有扩张的超共形对称性，并且模型的配分函数用超共形代数的特征表示.配分函数必须是模不变的，这个条件对模型的谱给出了强约束。这些约束与紧化空间的几何密切相关。讨论了它们对紧化杂化弦理论粒子谱的影响。
A supersymmetric nonlinear σ-model provides us a tool for studying the dynamics of superstrings on a compactified space. If the compactified space is a Ricci-flat Kahler manifold, the nonlinear σ-model has extended superconformal symmetry and the partition function of the model is expressed in terms of characters of the superconformal algebra. The partition function must be modular invariant and this condition gives strong constraints on the spectrum of the model. These constraints are intimately related to geometry of the compactified space. Their implications to particle spectra of the compactified heterotic string theory are also discussed.