Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

Abstract

We consider general 5d $SU(N)$ quiver gauge theories whose nodes form an ADE Dynkin diagram of type $G$. Each node has $SU(N_i)$ gauge group of general rank, Chern-Simons level ${\kappa }_i$ and additional $w_i$ fundamentals. When the total flavor number at each node is less than or equal to $2N_i-2|{\kappa }_i|$, we give general rules under which the symmetries associated to instanton currents are enhanced to $G\times G$ or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as $S^1$ compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

22 pages; v2: references added

References in corpus (21)

• Atomic Classification of 6D SCFTs
• 6d Conformal Matter
• Webs of five-branes and N=2 superconformal field theories
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Anomaly polynomial of general 6d SCFTs
• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Fiber-Base Duality and Global Symmetry Enhancement
• Lifting 4d dualities to 5d
• Duality and enhancement of symmetry in 5d gauge theories
• Tao Probing the End of the World
• Mass-deformed $T_N$ as a linear quiver
• Duality walls and defects in 5d N=1 theories
• Exact partition functions of Higgsed 5d $T_N$ theories
• Instanton Operators in Five-Dimensional Gauge Theories
• Classification of 6d N=(1,0) gauge theories
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• General instanton counting and 5d SCFT
• A comment on the enhancement of global symmetries in superconformal SU(2) gauge theories in 5D
• Topological vertex for Higgsed 5d $T_N$ theories
• Geometry of 6D RG Flows
• Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories

Cited by in corpus (54)

• On Geometric Classification of 5d SCFTs
• 5d Superconformal Field Theories and Graphs
• 6D SCFTs and Phases of 5D Theories
• Fibers add Flavor, Part I: Classification of 5d SCFTs, Flavor Symmetries and BPS States
• The Global Form of Flavor Symmetries and 2-Group Symmetries in 5d SCFTs
• Three dimensional canonical singularity and five dimensional N=1 SCFT
• Five-dimensional SCFTs and gauge theory phases: an M-theory/type IIA perspective
• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• More on 5d descriptions of 6d SCFTs
• Brane webs and $O5$-planes
• Tropical Geometry and Five Dimensional Higgs Branches at Infinite Coupling
• A new 5d description of 6d D-type minimal conformal matter
• 3d Coulomb branch and 5d Higgs branch at infinite coupling
• Quiver Subtractions
• Instanton Operators and the Higgs Branch at Infinite Coupling
• 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
• Spheres, Charges, Instantons, and Bootstrap: A Five-Dimensional Odyssey
• (5d RG-flow) Trees in the Tropical Rain Forest
• Classification of 5d N=1 gauge theories
• Compactifications of ADE conformal matter on a torus
• Magnetic Quivers from Brane Webs with O5 Planes
• Brane webs, $5d$ gauge theories and $6d$ $\mathcal{N}$$=(1,0)$ SCFT's
• Instantons, Symmetries and Anomalies in Five Dimensions
• The Small $E_8$ Instanton and the Kraft Procesi Transition
• Revisiting the classifications of 6d SCFTs and LSTs
• Duality walls and defects in 5d N=1 theories
• Equivalence of several descriptions for 6d SCFT
• Towards Classification of 5d SCFTs: Single Gauge Node
• Flavor Symmetry of 5d SCFTs, Part 2: Applications
• Evidence for a Non-Supersymmetric 5d CFT from Deformations of 5d $SU(2)$ SYM
• Five-brane webs, Higgs branches and unitary/orthosymplectic magnetic quivers
• Flavor Symmetry of 5d SCFTs, Part 1: General Setup
• Sequences of $6d$ SCFTs on generic Riemann surfaces
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• 5d fixed points from brane webs and O7-planes
• Compactifications of 5d SCFTs with a twist
• Curious patterns of IR symmetry enhancement
• 5d SCFTs from $(E_n,E_m)$ Conformal Matter
• On the compactification of 5d theories to 4d
• E-string Quantum Curve
• On the 3d compactifications of 5d SCFTs associated with SU(N+1) gauge theories
• Testing 5d-6d dualities with fractional D-branes
• Symmetry enhancements via 5d instantons, qW-algebrae and (1,0) superconformal index
• Partition functions of web diagrams with an O7${}^{-}$-plane
• Higgsing towards E-strings
• Fibre-base duality of 5d KK theories
• 5d SCFTs from Decoupling and Gluing
• Supersymmetry Algebra in Super Yang-Mills Theories
• Generalized Toric Polygons, T-branes, and 5d SCFTs
• On low rank 4d $\mathcal{N}=2$ SCFTs
• Monopole operators and symmetry enhancement in ABJM theory revisited
• Aspects of 4d supersymmetric dynamics and geometry