Susy CP ^(N-1)模型和R^(N^2-1)中的曲面
Susy CP^(N-1) model and surfaces in R^(N^2-1)
摘要:
我们描述了超对称CP^{N-1}模型的全纯解在R^{N^2-1}中生成的曲面。我们表明,这些表面所描述的基本投影构造出这个模型的解决方案,并在CP^{N-1}的情况下,相应的表面是一个球。虽然球体的坐标是超场,但球体的曲率是恒定的。我们证明了当N>2时,相应的曲面也可以由类似的投影器构造出来。
英文摘要:
We describe surfaces in R^{N^2-1} generated by the holomorphic solutions of the supersymmetric CP^{N-1} model. We show that these surfaces are described by the fundamental projector constructed out of the solutions of this model and that in the CP^{N-1} case the corresponding surface is a sphere. Although the coordinates of the sphere are superfields the sphere's curvature is constant. We show that for N>2 the corresponding surfaces can also be constructed from the similar projector.
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