arXiv 0710.39712007-10hep-thhep-ph

大N矩阵的自发超对称破缺

Spontaneous Supersymmetry Breaking by Large-N Matrices

Tsunehide Kuroki, Fumihiko Sugino

备注：: 32 pages, no figures, LaTeX; minor change
发表信息：: Nucl.Phys.B796:471-499,2008
DOI：: 10.1016/j.nuclphysb.2007.12.003

摘要：

受超弦矩阵模型中超对称破缺的启发，我们提出了一些具体的超弦模型，其中超对称对任意有限的$N$保持不变，但在无限的$N$处破缺，其中$N$是矩阵变量的秩.该模型被定义为耦合到一些矩阵模型的超对称场论，并且在积分矩阵后得到的诱导作用量中，只有当$N$为无穷大时，超对称性才自发破缺。在我们的模型中，$N$的大值为触发超对称破缺的场论中出现的小参数的起源给出了一个自然的解释。特别地，当O 'Raifeartaigh模型与某个超对称矩阵模型耦合时，在远离超对称真空的场空间原点附近出现了非超对称亚稳真空.我们估计其寿命作为$N$的函数。

英文摘要：

Motivated by supersymmetry breaking in matrix model formulations of superstrings, we present some concrete models, in which the supersymmetry is preserved for any finite $N$, but gets broken at infinite $N$, where $N$ is the rank of matrix variables. The models are defined as supersymmetric field theories coupled to some matrix models, and in the induced action obtained after integrating out the matrices, supersymmetry is spontaneously broken only when $N$ is infinity. In our models, the large value of $N$ gives a natural explanation for the origin of small parameters appearing in the field theories which trigger the supersymmetry breaking. In particular, in the case of the O'Raifeartaigh model coupled to a certain supersymmetric matrix model, a nonsupersymmetric metastable vacuum appears near the origin of the field space, which is far from the position of the supersymmetric vacuum. We estimate its lifetime as a function of $N$.

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