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arXiv 1001.2659hep-th
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N=4超对称与BPST瞬子

N=4 Supersymmetry and the BPST Instanton

Sergey Krivonos, Olaf Lechtenfeld, Anton Sutulin

摘要:

本文构造了N=4超对称系统的拉格朗日和哈密顿公式,描述了带有SO(4)等距的共形平坦四维流形上同位旋粒子的运动,其中SO(4)等距携带BPST瞬子的非Abel场.共形因子可以被指定以产生各种特殊的系统,例如超共形不变力学以及四球、伪球或R x S ^[3]上的粒子。同位旋自由度的出现是作为一个额外的费米子N=4超多重态的玻色子分量,其其他分量通过非定域重定义而变得辅助。我们的壳层上分量作用与最近在arXiv:0912.3289中提出的作用一致。

英文摘要:

In this paper we construct the Lagrangian and Hamiltonian formulations of N=4 supersymmetric systems describing the motion of an isospin particle on a conformally flat four-manifold with SO(4) isometry carrying the non-Abelian field of a BPST instanton. The conformal factor can be specified to yield various particular systems, such as superconformally invariant mechanics as well as a particle on the four-sphere, the pseudosphere or on R x S^3. The isospin degrees of freedom arise as bosonic components of an additional fermionic N=4 supermultiplet, whose other components are rendered auxiliary by a nonlocal redefinition. Our on-shell component action coincides with the one recently proposed in arXiv:0912.3289.

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