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arXiv 1004.4597hep-th
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非阿贝尔单极子背景下N=4,3D超对称量子力学

N=4, 3D Supersymmetric Quantum Mechanics in Non-Abelian Monopole Background

Evgeny Ivanov, Maxim Konyushikhin

摘要:

利用调和超空间方法,构造了超多重态(3,4,1)与SU(2)规范场耦合的三维N=4超对称量子力学.离壳N=4超对称性要求规范场是四维自对偶SU(2)规范场的“t Hooft变换的静态形式,即BPS单极子Bogomolny方程的特解。我们提出了相应的超场和分量作用,以及量子哈密顿量和N=4超荷的显式形式。后者可以用来描述更一般的N=4力学系统,具有任意的BPS背景和壳层上N=4的超对称性。我们构造的基本特征是使用了具有Wess-Zumino型作用量的半动力学自旋(4,4,0)多重态。

英文摘要:

Using the harmonic superspace approach, we construct the three-dimensional N=4 supersymmetric quantum mechanics of the supermultiplet (3,4,1) coupled to an external SU(2) gauge field. The off-shell N=4 supersymmetry requires the gauge field to be a static form of the 't Hooft ansatz for the 4D self-dual SU(2) gauge fields, that is a particular solution of Bogomolny equations for BPS monopoles. We present the explicit form of the corresponding superfield and component actions, as well as of the quantum Hamiltonian and N=4 supercharges. The latter can be used to describe a more general N=4 mechanics system, with an arbitrary BPS monopole background and on-shell N=4 supersymmetry. The essential feature of our construction is the use of semi-dynamical spin (4,4,0) multiplet with the Wess-Zumino type action.

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