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arXiv 1206.0175hep-th
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N=4超对称CP(n)力学的对称性

Symmetries of N=4 supersymmetric CP(n) mechanics

S. Bellucci, N. Kozyrev, S. Krivonos, A. Sutulin

摘要:

我们在U(n)规范场中构造了与N=4超对称$\mathbb{CP}^n$力学的超荷对易的$SU(n+1)$群的生成元.相应的哈密顿量可以表示为两个Casimir算符的直和:一个在$SU(n+1)$群上的Casimir算符包含我们的玻色子和费米子坐标和动量,而另一个在SU(1,n)群上的Casimir算符仅由同位旋自由度构造。

英文摘要:

We explicitly constructed the generators of $SU(n+1)$ group which commute with the supercharges of N=4 supersymmetric $\mathbb{CP}^n$ mechanics in the background U(n) gauge fields. The corresponding Hamiltonian can be represented as a direct sum of two Casimir operators: one Casimir operator on $SU(n+1)$ group contains our bosonic and fermionic coordinates and momenta, while the second one, on the SU(1,n) group, is constructed from isospin degrees of freedom only.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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