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arXiv 1206.3940hep-thmath-phmath.MP
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再论共形紧Minkowski超空间

Conformally compactified Minkowski superspaces revisited

Sergei M. Kuzenko

摘要:

从三维和四维时空中共形紧化的N-扩张Minkowski超空间的标准超扭量实现出发,详细讨论了对偶超扭量空间上的分次二形式的替代实现.进一步推广到4D N=2和3D N-扩张调和/射影超空间的情形。给出了四维N=2调和/射影超空间上张量超场的超共形Fourier展开.

英文摘要:

Starting from the standard supertwistor realizations for conformally compactified N-extended Minkowski superspaces in three and four space-time dimensions, we elaborate on alternative realizations in terms of graded two-forms on the dual supertwistor spaces. The construction is further generalized to the cases of 4D N=2 and 3D N-extended harmonic/projective superspaces. We present a superconformal Fourier expansion of tensor superfields on the 4D N=2 harmonic/projective superspace.

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