Special geometries, from real to quaternionic
Special geometries, from real to quaternionic
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特殊几何形状，从实数到四元数
DOI：
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发表时间：
2001
期刊：
影响因子：
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通讯作者：
A. Proeyen
中科院分区：
文献类型：
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作者：
A. Proeyen
特殊几何最为人所知的是 4 维 N=2 超引力，尽管它也包含四元几何和实几何。在这篇评论中，我们首先重复各种特殊几何形状之间的联系。然后从超共形方法开始给出结构。我们不详细讨论，只给出主要的基本原则。我们特别关注四元流形，引入超复几何的概念，它是接近超卡勒流形但没有度量的流形。这些与没有作用的超对称模型有关。
Special geometry is most known from 4-dimensional N=2 supergravity, though it contains also quaternionic and real geometries. In this review, we first repeat the connections between the various special geometries. Then the constructions are given starting from the superconformal approach. Without going in detail, we give the main underlying principles. We devote special attention to the quaternionic manifolds, introducing the notion of hypercomplex geometry, being manifolds close to hyperkaehler manifolds but without a metric. These are related to supersymmetry models without an action.