N=2 supersymmetric dynamics for pedestrians

Abstract

We give a pedagogical introduction to the dynamics of N=2 supersymmetric systems in four dimensions. The topic ranges from the Lagrangian and the Seiberg-Witten solutions of SU(2) gauge theories to Argyres-Douglas CFTs and Gaiotto dualities. This is a write-up of the author's lectures at Tohoku University, Nagoya University and Rikkyo University. Comments will be appreciated.

196 pages. v3: many minor corrections thanks to many kind readers. Newer than the printed version

References in corpus (47)

• N=6 superconformal Chern-Simons-matter theories, M2-branes and their gravity duals
• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Reading between the lines of four-dimensional gauge theories
• Four-dimensional wall-crossing via three-dimensional field theory
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• Gauge Theories and Macdonald Polynomials
• S-duality in N=2 supersymmetric gauge theories
• Webs of five-branes and N=2 superconformal field theories
• Split States, Entropy Enigmas, Holes and Halos
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• R-Twisting and 4d/2d Correspondences
• General Argyres-Douglas Theory
• Tinkertoys for Gaiotto Duality
• ABCD of instantons
• Magnetic Monopole Dynamics, Supersymmetry, and Duality
• Surface Operators in N=2 4d Gauge Theories
• Tinkertoys for the D_N series
• Seiberg-Witten Theory and Random Partitions
• More on the N=2 superconformal systems of type $D_p(G)$
• The $\mathcal{N}=1$ Chiral Multiplet on $T^2\times S^2$ and Supersymmetric Localization
• Tinkertoys for the Twisted D-Series
• Surface Defects and Resolvents
• Infinitely many N=2 SCFT with ADE flavor symmetry
• Central charges and RG flow of strongly-coupled N=2 theory
• From Black Holes to Quivers
• Argyres-Seiberg duality and the Higgs branch
• Classification of 4d N=2 gauge theories
• Seiberg-Witten prepotential from instanton counting
• Classification of complete N=2 supersymmetric theories in 4 dimensions
• Comments on scaling limits of 4d N=2 theories
• Seiberg-Witten Geometries Revisited
• Quantum Higgs branches of isolated N=2 superconformal field theories
• Gaiotto Duality for the Twisted A_{2N-1} Series
• From SO/Sp instantons to W-algebra blocks
• On 6d N=(2,0) theory compactified on a Riemann surface with finite area
• Supersymmetric Gauge Theories on a Squashed Four-Sphere
• Half--Hypers and Quivers
• Minimal Distances Between SCFTs
• Mass deformations of four-dimensional, rank 1, N=2 superconformal field theories
• Spontaneous Partial Breaking of N=2 Supersymmetry and the U(N) Gauge Model
• Confinement and duality in supersymmetric gauge theories
• N=2 supersymmetric gauge theories and quantum integrable systems
• A review on instanton counting and W-algebras
• Global Symmetries and N=2 SUSY

Cited by in corpus (51)

• Bootstrapping $\mathcal{N}=2$ chiral correlators
• The String Landscape, the Swampland, and the Missing Corner
• Compactifications of the Klebanov-Witten CFT and new $Ad{S}_3$ backgrounds
• Quiver Tails and N=1 SCFTs from M5-branes
• Tackling the SDC in AdS with CFTs
• Mass-deformed $T_N$ as a linear quiver
• A review of the T_N theory and its cousins
• M5-brane Sources, Holography, and Argyres-Douglas Theories
• Gauge theories from principally extended disconnected gauge groups
• Small instanton transitions for M5 fractions
• A slow review of the AGT correspondence
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• Semiclassical framed BPS states
• A proposal for nonabelian (0,2) mirrors
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• Geometric constraints on the space of N=2 SCFTs III: enhanced Coulomb branches and central charges
• Argyres-Douglas Theories in Class S Without Irregularity
• The moduli space of vacua of N=2 class S theories
• A brief review of the 2d/4d correspondences
• Dirac pairings, one-form symmetries and Seiberg-Witten geometries
• Quasinormal Modes of C-metric from SCFTs
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• Rigid Holography and Six-Dimensional N=(2,0) Theories on AdS_5 times S^1
• Singular Geometry and Higgs Bundles in String Theory
• A geometric recipe for twisted superpotentials
• Elliptic Loci of SU(3) Vacua
• Cutting and gluing with running couplings in $\mathcal{N}=2$ QCD
• The Hitchhiker's Guide to 4d $\mathcal{N}=2$ Superconformal Field Theories
• Reading between the rational sections: Global structures of 4d $\mathcal{N}=2$ KK theories
• The Partition Function Of Argyres-Douglas Theory On A Four-Manifold
• Four flavours, triality and bimodular forms
• Accelerating Solitons
• Partition functions of non-Lagrangian theories from the holomorphic anomaly
• Lectures on 4d N=1 dynamics and related topics
• Higher rank Wilson loops in the $\mathcal{N}=2$ $SU(N)\times SU(N)$ conformal quiver
• Partition function of $\mathcal{N}=2$ supersymmetric gauge theory and two-dimensional Yang-Mills theory
• A Worked Example of the Bayesian Mechanics of Classical Objects
• Hecke Groups, Dessins d'Enfants and the Archimedean Solids
• Gauge interactions and topological phases of matter
• Dessins d'Enfants, Seiberg-Witten Curves and Conformal Blocks
• The $U$-plane of rank-one 4d $\mathcal{N}=2$ KK theories
• Kerr-Newman quasinormal modes and Seiberg-Witten theory
• Disconnected gauge groups in the infrared
• Weak Coupling Limits and Colliding Punctures in Class-S Theories
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• Coulomb branch surgery: Holonomy saddles, S-folds and discrete symmetry gaugings
• Vortex-strings in N=2 quiver X U(1) theories
• Whittaker vectors at finite energy scale, topological recursion and Hurwitz numbers
• Aspects of 4d supersymmetric dynamics and geometry
• Painlevé Kernels and Surface Defects at Strong Coupling
• Completely (iso-)split scale-invariant Coulomb branch geometries are isotrivial