arXiv 0903.34222009-03hep-th

关于量子杂化涡旋问题

On The Problem of the Quantum Heterotic Vortex

Stefano Bolognesi

备注：: 47 pp; v2: typos
发表信息：: JHEP 0906:016,2009
DOI：: 10.1088/1126-6708/2009/06/016

摘要：

我们解决的问题，非阿贝尔超QCD，与Fayet-Iliopoulos项，从涡旋世界面的角度来看。伴随超场$Φ$的质量$μ$与FI项$ξ$一起进入博弈。这个质量允许在$\N=2$和$\N=1$ super-QCD之间进行插值。虽然$\N=2$情况（$μ=0$）的现象学已经被理解得差不多了，但是对于有限$μ$情况，还有很多东西有待澄清。我们区分，内的FI项和质量$μ$，四个不同的角落，可以作出一些定量的陈述跨越的参数空间。在这些区域中，强动力学可以在某种近似下进行定量分析。我们特别关注两个问题：1）量子涡旋是BPS还是非BPS？2)内部非阿贝尔模的相位是多少？我们发现，这些问题的答案强烈依赖于超势中线性项的选择。我们还试图解释在最未被探索和最有争议的参数区域中发生的事情，即量子杂化涡旋，其中$Λ\ll \sqrtξ \ll μ$。

英文摘要：

We address the problem of non-Abelian super-QCD, with a Fayet-Iliopoulos term, as seen from the vortex worldsheet perspective. Together with the FI term $ξ$, also a mass $μ$ for the adjoint superfield $Φ$ enters in the game. This mass allows the interpolation between $\N=2$ and $\N=1$ super-QCD. While the phenomenology of the $\N=2$ case ($μ=0$) is pretty much understood, much remains to be clarified for the finite-$μ$ case. We distinguish, inside the parameter space spanned by the FI term and the mass $μ$, four different corners where some quantitative statements can be made. These are the regions where the strong dynamics can, in some approximation, be quantitatively analyzed. We focus in particular on two questions: 1) Is the quantum vortex BPS or non-BPS? 2) What is the phase of the internal non-Abelian moduli? We find that the answer to these questions strongly depends upon the choice of the linear term in the superpotential. We also try to explain what happens in the most unexplored, and controversial, region of parameters, that of the quantum heterotic vortex, where $Λ\ll \sqrtξ \ll μ$.

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