arXiv 2005.027612020-05-11hep-th

具有手征物质含量的三维$\mathcal{N}=2$ $SU(N)_k$ Chern-Simons规范理论的库仑分支

Coulomb branch in 3d $\mathcal{N}=2$ $SU(N)_k$ Chern-Simons gauge theories with chiral matter content

Keita Nii

备注：: 56 pages: refs added, typos corrected, refined argument

摘要：

本文详细讨论了具有$F$基本和$\bar{F}$反基本物质场的三维$\mathcal{N}=2$ $SU(N)_k$ Chern-Simons规范理论中的量子模空间。库仑分支上的量子平坦方向与经典理论和类矢量理论的量子平坦方向有很大的不同。在许多情况下，库仑分支由修饰单极子参数化。从超共形指数的计算中发现，这些修饰的算子乍一看似乎是由大量的基本场修饰的，这些基本场似乎对低能物理没有贡献。我们认为，这些修饰场可以解释为一个非阿贝尔的无质量物质场修饰（或不修饰）。基于此分析，我们将报告的s-限制阶段与非平凡的doppler运营商，这是一致的对偶建议\cite{Aharony:2014uya, Aharony:2013dha}。在这些研究中，我们发现，为了得到正确的重子算符对偶图，在$k=\pm \frac{1}{2}(F-\bar{F})$时，必须修改\cite{Aharony:2014uya}中所报道的对偶性。

英文摘要：

We elaborate on quantum moduli spaces in 3d $\mathcal{N}=2$ $SU(N)_k$ Chern-Simons gauge theories with $F$ fundamental and $\bar{F}$ anti-fundamental matter fields. The quantum flat direction on the Coulomb branch differs so much from the classical one and from the one of the vector-like theories. In many cases, the Coulomb branch is parametrized by the dressed monopoles. As is found from the computation of the superconformal index, these dressed operators at first sight appear to be dressed by massive elementary fields which don't seem to contribute to the low-energy physics. We argue that these dressed fields can be interpreted as a non-abelian monopole dressed (or not dressed) by massless matter fields. Based on this analysis, we will report on the s-confinement phases with non-trivial monopole operators, which is consistent with the duality proposals \cite{Aharony:2014uya, Aharony:2013dha}. Along these studies, we find that the duality reported in \cite{Aharony:2014uya} must be modified when $k=\pm \frac{1}{2}(F-\bar{F})$ in order to have a correct duality map of the baryonic operators.

机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。

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