Flavor Symmetry of 5d SCFTs, Part 1: General Setup

Abstract

A large class of 5d superconformal field theories (SCFTs) can be constructed by integrating out BPS particles from 6d SCFTs compactified on a circle. We describe a general method for extracting the flavor symmetry of any 5d SCFT lying in this class. For this purpose, we utilize the geometric engineering of 5d N=1 theories in M-theory, where the flavor symmetry is encoded in a collection of non-compact surfaces.

arXiv comment113 pages, v2: References added

References in corpus (67)

• Five Dimensional SUSY Field Theories, Non-trivial Fixed Points and String Dynamics
• Phase Transitions In M-Theory And F-Theory
• Webs of (p,q) 5-branes, Five Dimensional Field Theories and Grid Diagrams
• Extremal Transitions and Five-Dimensional Supersymmetric Field Theories
• Five-Dimensional Supersymmetric Gauge Theories and Degenerations of Calabi-Yau Spaces
• A SUSY SU(5) Grand Unified Model of Tri-Bimaximal Mixing from A4
• Branes, Superpotentials and Superconformal Fixed Points
• On finite symmetries and their gauging in two dimensions
• Atomic Classification of 6D SCFTs
• The D4-D8 Brane System and Five Dimensional Fixed Points
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Small Instantons, del Pezzo Surfaces and Type I' theory
• On Geometric Classification of 5d SCFTs
• Five-branes, Seven-branes and Five-dimensional E_n field theories
• 5-Brane Webs, Symmetry Enhancement, and Duality in 5d Supersymmetric Gauge Theory
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity I: Local solutions
• 5d quivers and their AdS(6) duals
• 5d Superconformal Field Theories and Graphs
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity II: Global solutions and five-brane webs
• Coulomb and Higgs Branches from Canonical Singularities: Part 0
• 6D SCFTs and Phases of 5D Theories
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• Holographic duals for five-dimensional superconformal quantum field theories
• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Classifying 5d SCFTs via 6d SCFTs: Arbitrary rank
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• Higher-form symmetries of 6d and 5d theories
• More on 5d descriptions of 6d SCFTs
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• Brane webs and $O5$-planes
• A new 5d description of 6d D-type minimal conformal matter
• Trifectas for $T_N$ in 5d
• $E_8$ instantons on type-A ALE spaces and supersymmetric field theories
• Classifying 5d SCFTs via 6d SCFTs: Rank one
• Twisted Circle Compactifications of 6d SCFTs
• Dualities and 5-brane webs for 5d rank 2 SCFTs
• Phases of 5d SCFTs from M-/F-theory on Non-Flat Fibrations
• 6d SCFTs, 5d Dualities and Tao Web Diagrams
• 5-brane webs for 5d $\mathcal{N}=1$ $G_2$ gauge theories
• Duality and enhancement of symmetry in 5d gauge theories
• Universal Features of BPS Strings in Six-dimensional SCFTs
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity III: Global solutions with seven-branes
• Exact results for 5d SCFTs of long quiver type
• Tao Probing the End of the World
• Classification of 5d N=1 gauge theories
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• Instantons, Symmetries and Anomalies in Five Dimensions
• Revisiting the classifications of 6d SCFTs and LSTs
• $S^1/T^2$ Compactifications of 6d $\mathcal{N}=(1,0)$ Theories and Brane Webs
• Rank-two 5d SCFTs from M-theory at isolated toric singularities: a systematic study
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Equivalence of several descriptions for 6d SCFT
• Rank-3 antisymmetric matter on 5-brane webs
• Complete prepotential for 5d $\mathcal{N}=1$ superconformal field theories
• Dualities of 5d gauge theories from S-duality
• Holographic duals of five-dimensional SCFTs on a Riemann surface
• On the global symmetries of 6D superconformal field theories
• Calabi-Yau Spaces and Five Dimensional Field Theories with Exceptional Gauge Symmetry
• Wilson loops in 5d $\mathcal{N}=1$ theories and S-duality
• AdS${}_6$/CFT${}_5$ with O7-planes
• 5d SCFTs from $(E_n,E_m)$ Conformal Matter
• Five-Dimensional Gauge Theories from Shifted Web Diagrams
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• Surface operators in 5d gauge theories and duality relations
• Classifying Global Symmetries of 6D SCFTs

Cited by in corpus (17)

• The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs
• Lecture Notes on Generalized Symmetries and Applications
• 2-Group Symmetries and M-Theory
• 0-Form, 1-Form and 2-Group Symmetries via Cutting and Gluing of Orbifolds
• Higher Form Symmetries TFT in 6d
• 5D and 6D SCFTs from ${\mathbb{C}}^3$ orbifolds
• Gauging Discrete Symmetries of $T_N$-theories in Five Dimensions
• Hierarchies of RG flows in 6d $(1,0)$ massive E-strings
• Generalized Symmetries and Anomalies of 3d N=4 SCFTs
• Higgs Branches of rank-0 5d theories from M-theory on $(A_j,A_l)$ and $(A_k,D_n)$ singularities
• Exploring the orthosymplectic zoo
• On non-supersymmetric fixed points in five dimensions
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Symmetry TFTs from String Theory
• OPE of line defects in 5d $E_n$ SCFT
• Seiberg-Witten geometry, modular rational elliptic surfaces and BPS quivers