论文标题
Yano F结构和延长的超对称性
Yano F structures and extended Supersymmetry
论文作者
论文摘要
显示出延伸的超对称性如何直接在符号sigma模型的(2,2)半尿道超级场上实现,从而在几乎是帕拉 - 温米特(Para-Hermitian)歧管上的两个yano f结构组成的加倍切线束上产生了几何形状。在此框架中讨论了代数的闭合和动作的不变性,并将F结构的整合性定义并显示为持有。阐明了对常规(1,1)Sigma模型的描述和识别,并阐明了复杂结构及其特性的双离子。 F结构公式应适用于许多其他模型,并在广义几何形状中具有等效的配方。
It is shown how extended supersymmetry realised directly on the (2,2) semichiral superfields of a symplectic sigma model gives rise to a geometry on the doubled tangent bundle consisting of two Yano F structures on an almost para-hermitian manifold. Closure of the algebra and invariance of the action is discussed in this framework and integrability of the F structures is defined and shown to hold. The reduction to the usual (1, 1) sigma model description and identification with the bi-quaternionic set of complex structures and their properties is elucidated. The F structure formulation should be applicable to many other models and will have an equivalent formulation in Generalised Geometry.