Self-duality in odd dimensions

Self-duality in odd dimensions
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DOI:
10.1016/0370-2693(84)92051-3
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发表时间:
1984-02
期刊:
影响因子:
4.4
通讯作者:
P. Townsend;K. Pilch;P. Nieuwenhuizen
P. Townsend;K. Pilch;P. Nieuwenhuizen
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
P. Townsend;K. Pilch;P. Nieuwenhuizen

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对于时空维数d = 4k−1,我们可以取Proca方程的“平方根”来表示一个大质量的反对称张量场。结果是一个“自对偶”场,传播了一半的大质量模。我们给出了d = 3的一个简单超对称模型。我们还讨论了d = 4k + 1和欧几里德空间中其他类型的奇维自对偶。
For spacetime dimension d = 4k − 1 one may take the “square root” of the Proca equation for a massive antisymmetric tensor field. The result is a “self-dual” field which propagates half as many massive modes. We present a simple supersymmetric model for d = 3. We also discuss other types of odd-dimensional self-duality, in d = 4k + 1 and in euclidean spaces.