有(无)超对称性的孤子与瞬子
高能物理 - 理论
2009-10-22 v2 高能物理 - 唯象学
摘要
我们给出与模型无关的论证,适用于几乎任意时空维数,证明拓扑孤子和瞬子满足Bogomol'nyi型不等式,并且当这些不等式饱和时,满足自对偶方程。在超对称情形下,我们还证明,在时空维数大于二时,具有拓扑荷的理论必然表现出扩展超对称性,其中拓扑荷作为中心荷出现。我们论证的重要性在于其普遍性。在超对称情形下,我们深入理解了1+1维与高维模型中拓扑荷之间观察到的差异。我们方法的核心是要求一般(非超对称)场论的超对称扩展是自洽的。我们对超对称扩展的讨论非常详细,并引入了“伴随超场”的概念来构造此类扩展。
引用
@article{arxiv.hep-th/9301014,
title = {Solitons and Instantons with(out) Supersymmetry},
author = {Zvonimir Hlousek and Donald Spector},
journal= {arXiv preprint arXiv:hep-th/9301014},
year = {2009}
}
备注
15 pages, harvmac. The major change is the addition of an important discussion on constructing the supersymmetric generalizations of non-supersymmetric theories. The paper has also been re-organized. This revision was inadvertently not submitted to the archive at the time of its completion last year