如何从N=2 SQCD流到N=1 SQCD
A Coincidence Problem: How to Flow from N=2 SQCD to N=1 SQCD
摘要：
本文讨论了从$\N=2$ super-QCD到$\N=1$ super-QCD的破缺问题，并提出了解决方案。伴随场的质量项$W=μ\Tr Φ^2 / 2$在经典意义上完美地完成了所需的破缺，量子力学上导致了一个相关的算符，在红外线上，这个算符使理论偏离了纯$\N=1$ SQCD。为了避免这个问题，我们首先需要将理论从$\SU (n_c)$扩展到$\U (n_c)$。然后，我们寻找条件$W^{\prime}(m)=0$的量子推广，即超势$W(ϕ)$的导数的根与夸克的质量$m$之间的重合。在模空间中有这样的点的$2n_c -n_f$。我们认为，通过适当地选择超势，即选择模空间中的一个重合真空，有可能从$\N=2$ SQCD流到$\N=1$ SQCD。各种论据支持这一主张。特别地，我们将确定这些重合真空在模空间中的确切位置和SW曲线的精确因式分解。
英文摘要：
We discuss, and propose a solution for, a still unresolved problem regarding the breaking from $\N=2$ super-QCD to $\N=1$ super-QCD. A mass term $W=μ\Tr Φ^2 / 2$ for the adjoint field, which classically does the required breaking perfectly, quantum mechanically leads to a relevant operator that, in the infrared, makes the theory flow away from pure $\N=1$ SQCD. To avoid this problem, we first need to extend the theory from $\SU (n_c)$ to $\U (n_c)$. We then look for the quantum generalization of the condition $W^{\prime}(m)=0$, that is, the coincidence between a root of the derivative of the superpotential $W(ϕ)$ and the mass $m$ of the quarks. There are $2n_c -n_f$ of such points in the moduli space. We suggest that with an opportune choice of superpotential, that selects one of these coincidence vacua in the moduli space, it is possible to flow from $\N=2$ SQCD to $\N=1$ SQCD. Various arguments support this claim. In particular, we shall determine the exact location in the moduli space of these coincidence vacua and the precise factorization of the SW curve.
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