论文标题

RG流量的层次结构6D $(1,0)$大规模电子弦

Hierarchies of RG flows in 6d $(1,0)$ massive E-strings

论文作者

Fazzi, Marco, Giacomelli, Simone, Giri, Suvendu

论文摘要

我们将Arxiv的分析:2208.11703扩展到6D $(1,0)$ SCFTS,称为大型电子弦理论,可以用$ 8-N_0 <8 $ d8 $ d8-branes进行大规模IIA设计,接近O8 $^ - $^ - (或O8 $^*$ n_0 = $ n_0 = 8,8,9,9 $)。对于$ n_0 = 1的每一个选择,\ ldots,9 $巨大的$ e_ {1+(8-n_0)} $ - 弦乐(包括更奇特的$ \ tilde {e} _1 $和$ e_0 $)是由约束的$ e_8 $ kac labels分类的,即$ \ text {hom}(\ mathbb {z} _k,e_8)$,从中可以读取每个scft的$ e_ {1+(8-n_0)} $的味道subergebra。我们为两种类型的希格斯分支RG流构建层次结构:在相同$ N_0 $但不同的标签定义的大型理论之间流动;在不同$ n_0 $的大型理论之间流动。这些后一个流是由T-Brane VEV触发的,用于正确的$ \ mathrm {su} $ facte scft Global Symmetry的因子,其等级是$ k $和$ n_0 $的函数,到目前为止,这种情况仍然非常尚未得到探索。

We extend the analysis of arXiv:2208.11703 to the 6d $(1,0)$ SCFTs known as massive E-string theories, which can be engineered in massive Type IIA with $8-n_0<8$ D8-branes close to an O8$^-$ (or O8$^*$ if $n_0=8,9$). For each choice of $n_0=1,\ldots,9$ the massive $E_{1+(8-n_0)}$-strings (including the more exotic $\tilde{E}_1$ and $E_0$) are classified by constrained $E_8$ Kac labels, i.e. a subset of $\text{Hom}(\mathbb{Z}_k,E_8)$, from which one can read off the flavor subalgebra of $E_{1+(8-n_0)}$ of each SCFT. We construct hierarchies for two types of Higgs branch RG flows: flows between massive theories defined by the same $n_0$ but different labels; flows between massive theories with different $n_0$. These latter flows are triggered by T-brane vev's for the right $\mathrm{SU}$ factor of the SCFT global symmetry, whose rank is a function of both $k$ and $n_0$, a situation which has so far remained vastly unexplored.

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