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

Abstract

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${}^{\ast }$ if $n_0=8,9$). For each choice of $n_0=1,\dots ,9$ 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.

Part II of a series of papers; 37+11 pages; 13 figures

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Cited by in corpus (10)

• Higgs branch RG-flows via Decay and Fission
• Decay and Fission of Magnetic Quivers
• The Higgs branch of Heterotic ALE instantons
• A new vista on the Heterotic Moduli Space from Six and Three Dimensions
• Orthosymplectic Quotient Quiver Subtraction
• Quotient Quiver Subtraction
• Atomic Higgsings of 6D SCFTs
• Atomic Higgsings of 6D SCFTs II: Induced Flows
• Quiver Polymerisation
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D