arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2103.14049hep-thmath-phmath.MP
收藏

五维超对称规范理论的位相

Phases of five-dimensional supersymmetric gauge theories

Leonardo Santilli

备注：
ii+56 pages, 20 figures. v2: references added. v3: clarifications and references added, published version
发表信息：
J. High Energ. Phys. 2021, 88 (2021)
阅读 PDF
arXiv 页面 ↗HTML 原文 ↗

摘要：

通过在大球上局域化的方法，研究了具有规范群$U(N)$，$SU(N)$，$USp(2N)$和$SO(N)$的五维$\mathcal{N}=1$理论.具有基本超多重态的理论的相图是通用的，并且以三阶相变为特征，除了$U(N)$，其显示二阶和三阶相变。具有伴随或（反对）对称超多重态的理论的相图也被确定，并发现是普遍的。此外，威尔逊圈的基本和反对称表示的任何秩分析在此限制。此外，还讨论了箭袋理论。所有结果证实了$\mathcal{F}$ -定理。

英文摘要：

Five-dimensional $\mathcal{N}=1$ theories with gauge group $U(N)$, $SU(N)$, $USp(2N)$ and $SO(N)$ are studied at large rank through localization on a large sphere. The phase diagram of theories with fundamental hypermultiplets is universal and characterized by third order phase transitions, with the exception of $U(N)$, that shows both second and third order transitions. The phase diagram of theories with adjoint or (anti-)symmetric hypermultiplets is also determined and found to be universal. Moreover, Wilson loops in fundamental and antisymmetric representations of any rank are analyzed in this limit. Quiver theories are discussed as well. All the results substantiate the $\mathcal{F}$-theorem.

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。

↑