On the torus compactifications of $Z_2$ orbifolds of E-string theories

Abstract

We consider the torus compactifications with flux of a class of $6d$ $(1,0)$ SCFTs that can be engineered as the low-energy theories on M$5$-branes near an M$9$-plane on a $C^2/Z_2$ singularity. Specifically, we concentrate on the two SCFTs where the $Z_2$ orbifold action acts non-trivially on the $E_8$ global symmetry. We analyze this problem by compactifying to $5d$, where we can exploit the relation to $5d$ duality domain walls. By a suitable guess of the domain wall theories, the resulting $4d$ theories can be conjectured. These can then be tested by comparing their properties, notably anomalies and symmetries, against the $6d$ expectations. These constructions lead to various interesting $4d$ phenomena like dualities and symmetry enhancements.

arXiv comment34 pages, 8 figures

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Cited by in corpus (10)

• Revisiting the classifications of 6d SCFTs and LSTs
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Symmetry enhancement and duality walls in 5d gauge theories
• Anomaly Inflow, Accidental Symmetry, and Spontaneous Symmetry Breaking
• Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs
• Compactifying 5d superconformal field theories to 3d
• The Geometry of Decoupling Fields
• $G_2$-Manifolds from 4d N=1 Theories, Part I: Domain Walls