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.

arXiv comment38 pages, 16 figures

References in corpus (48)

• Generalized Global Symmetries
• N=2 dualities
• The Exact Superconformal R-Symmetry Extremizes Z
• 3d dualities from 4d dualities
• Index for three dimensional superconformal field theories with general R-charge assignments
• Indices for Superconformal Field Theories in 3,5 and 6 Dimensions
• Four-Dimensional SCFTs from M5-Branes
• Contact Terms, Unitarity, and F-Maximization in Three-Dimensional Superconformal Theories
• IR Duality in d=3 N=2 Supersymmetric USp(2N_c) and U(N_c) Gauge Theories
• Bootstrapping the superconformal index with surface defects
• Branes, Calabi-Yau Spaces, and Toroidal Compactification of the N=1 Six-Dimensional E_8 Theory
• Sicilian gauge theories and N=1 dualities
• 3d dualities from 4d dualities for orthogonal groups
• 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
• E-String Theory on Riemann Surfaces
• Symmetry TFTs for 3d QFTs from M-theory
• D-type Conformal Matter and SU/USp Quivers
• Compactification of 6d minimal SCFTs on Riemann surfaces
• $(0,4)$ dualities
• Generalized symmetries and holography in ABJM-type theories
• Compactifications of 6d $N=(1,0)$ SCFTs with non-trivial Stiefel-Whitney classes
• Mixed Anomalies, Two-groups, Non-Invertible Symmetries, and 3d Superconformal Indices
• Rank $Q$ E-string on a torus with flux
• Compactifications of ADE conformal matter on a torus
• Localization on three-dimensional manifolds
• On the reduction of 4d N=1 theories on S^2
• Instantons, Symmetries and Anomalies in Five Dimensions
• From 6d flows to 4d flows
• 6d SCFTs, Center-Flavor Symmetries, and Stiefel--Whitney Compactifications
• (0,2) Dynamics From Four Dimensions
• 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
• Reflection groups and 3d $\mathcal{N}\ge$ 6 SCFTs
• A 2d (0,2) appetizer
• Curious patterns of IR symmetry enhancement
• Distinguishing 6d (1,0) SCFTs: an extension to the geometric construction
• On the torus compactifications of $Z_2$ orbifolds of E-string theories
• 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