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超Killing方程与超对称变换

张历宁

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超Killing方程与超对称变换

张历宁

SUPER KILLING EQUATION AND SUPERSYM-METRY TRANSFORMATION

ZHANG LI-NING
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  • 在超空间(x,θ)上定义了度规张量场GAB后,计算了四阶曲率张量RDABC并找出其推广的循环性(cyclicity)。推导了超空间上保度量变换所应满足的条件,即超Killing方程:ξA:B+ηabξB:A=0。在零曲率情形,求出了超Killing方程的通解,及其相应生成元间的对易关系。在常曲率情形,找出了超Killing方程的特解。
    In super space (x, θ), as the metric tensor field GAB(x, θ) is given, we calculated the Riemann curvature tensor RDABC of fourth rank and its generalized cyclicity.The equation that must be satisfied by isometry in the super space, i.e. super Killing equation: ξA:B+ηabξB:A=0, is deduced.In flat super space with zero curvature tensor, we have obtained the general solu-tions of the super Killing equation and the commutation relations of the corresponding generators. In the case of constant curvature, we have obtained a special solution of the super Killing equation.
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  • 文章访问数:  6398
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出版历程
  • 收稿日期:  1980-03-18
  • 刊出日期:  2005-07-27

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