Classification of 4d N=2 gauge theories

Abstract

We classify all possible four-dimensional N=2 supersymmetric UV-complete gauge theories composed of semi-simple gauge groups and hypermultiplets. We also give appropriate references for all theories with known Seiberg-Witten solutions.

46 pages, v2: Corrected typos along with a typo reported by A. Sciarappa and updated the list of known Seiberg-Witten solutions, v3: Corrected a typo reported by G. Zafrir and updated the list of known Seiberg-Witten solutions

References in corpus (10)

• Reading between the lines of four-dimensional gauge theories
• S-duality in N=2 supersymmetric gauge theories
• The $(2,0)$ superconformal bootstrap
• Tinkertoys for Gaiotto Duality
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
• Tinkertoys for the Twisted D-Series
• Gaiotto Duality for the Twisted A_{2N-1} Series
• N=2 S-duality via Outer-automorphism Twists
• N=2 SU Quiver with USP Ends or SU Ends with Antisymmetric Matter
• Seiberg-Witten for $Spin(n)$ with Spinors

Cited by in corpus (38)

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• Fibers add Flavor, Part II: 5d SCFTs, Gauge Theories, and Dualities
• Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories
• N=2 supersymmetric dynamics for pedestrians
• Classification of 5d N=1 gauge theories
• Growing Extra Dimensions in AdS/CFT
• Gauge theories from principally extended disconnected gauge groups
• Exact results in a N=2 superconformal gauge theory at strong coupling
• A slow review of the AGT correspondence
• Classification of 6d N=(1,0) gauge theories
• Semiclassical framed BPS states
• Magnetic quivers for rank 2 theories
• Mayer-Cluster Expansion of Instanton Partition Functions and Thermodynamic Bethe Ansatz
• An N=1 Lagrangian for the rank 1 E6 superconformal theory
• The planar limit of $\mathcal{N}=2$ superconformal field theories
• Instantons from Blow-up
• Testing our understanding of SCFTs: a catalogue of rank-2 $\mathcal{N}$=2 theories in four dimensions
• Needles in a haystack: An algorithmic approach to the classification of 4d $\mathcal{N}=2$ SCFTs
• Weakly coupled conformal manifolds in 4d
• Chiral Squaring
• Mixed OPEs in $\mathcal{N}=2$ Superconformal Theories
• Classification of large N superconformal gauge theories with a dense spectrum
• Instanton Counting, Quantum Geometry and Algebra
• The Characteristic Dimension of Four-dimensional $\mathcal{N}=2$ SCFTs
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Towards a complete classification of 6D supergravities
• Seiberg-Witten geometry of four-dimensional N=2 SO-USp quiver gauge theories, I
• Dynamical Spin Chains in 4D $\mathcal{N}=2$ SCFTs
• Seiberg-Witten for $Spin(n)$ with Spinors
• A CFT Distance Conjecture
• Instanton operators and symmetry enhancement in 5d supersymmetric USp, SO and exceptional gauge theories
• A 5d perspective on the compactifications of 6d SCFTs to 4d $\mathcal{N}=1$ SCFTs
• No go for a flow
• The Statistics of Vacuum Geometry
• Aspects of 4d supersymmetric dynamics and geometry