论文标题
Hyperkähler锥的变形
Deformations of hyperkähler cones
论文作者
论文摘要
我们使用扭曲方法来促进Namikawa对HyperKähler结构家族的圆锥仿射象征性奇异性的普遍泊松变形，使Hyperkähler锥度变形。 The metrics we produce are generally incomplete, but for specific classes of hyperkähler cones, even these incomplete metrics have some interest and applications: we study in detail the case of the nilpotent cone of a simple complex Lie algebra, with applications to hyperkähler metrics with symmetries and hyperkähler quotients, and the case of Kleinian singularities, with applications to codimension-4 singularities of G2单学指标及其在理论物理学中的双重描述，就三维规格理论而言。
We use twistor methods to promote Namikawa's universal Poisson deformations of conic affine symplectic singularities to families of hyperkähler structures deforming hyperkähler cone metrics. The metrics we produce are generally incomplete, but for specific classes of hyperkähler cones, even these incomplete metrics have some interest and applications: we study in detail the case of the nilpotent cone of a simple complex Lie algebra, with applications to hyperkähler metrics with symmetries and hyperkähler quotients, and the case of Kleinian singularities, with applications to codimension-4 singularities of G2-holonomy metrics and their dual description in theoretical physics in terms of 3-dimensional gauge theory.
