Trinions for the $3d$ compactification of the $5d$ rank 1 $E_{N_f+1}$ SCFTs

Abstract

Many interesting phenomena in quantum field theory such as dualities and symmetry enhancements can be understood using higher dimensional constructions. In this paper, we study compactifications of the rank $1$ $5d$ Seiberg $E_{N_f+1}$ SCFTs to $3d$ on Riemann surfaces of genus $g>1$. We rely on the recent progress in the study of compactifications of $6d$ SCFTs to $4d$ and torus compactifications of $5d$ SCFTs to conjecture $3d$ $\mathcal{N}=2$ theories corresponding to the reduction of said $5d$ SCFTs on three punctured spheres. These can then be used to build $3d$ $\mathcal{N}=2$ models corresponding to compactifications on more general surfaces. The conjectured theories are tested by comparing their properties against those expected from the compactification picture.

38 pages, 16 figures

References in corpus (23)

• Generalized Global Symmetries
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Four-Dimensional SCFTs from M5-Branes
• Superconformal indices of three-dimensional theories related by mirror symmetry
• 5d and 4d SCFTs: Canonical Singularities, Trinions and S-Dualities
• Higher Form Symmetries and M-theory
• Higher-form symmetries of 6d and 5d theories
• Symmetry TFTs for 3d QFTs from M-theory
• Generalized symmetries and holography in ABJM-type theories
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Instantons, Symmetries and Anomalies in Five Dimensions
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• Zero-form and one-form symmetries of the ABJ and related theories
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• New 2d $\mathcal{N}=(0,2)$ dualities from four dimensions
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• Symmetry enhancement in 4d Spin(n) gauge theories and compactification from 6d
• Expanding 3d $\mathcal{N}=2$ Theories around the Round Sphere
• A quantum mechanics for magnetic horizons
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• Non minimal D-type conformal matter compactified on three punctured spheres
• A 5d perspective on the compactifications of 6d SCFTs to 4d $\mathcal{N}=1$ SCFTs

Cited by in corpus (1)

• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices