Describing codimension two defects

Abstract

Codimension two defects of the $(0,2)$ six dimensional theory $\mathcal{X}[\mathfrak{j}]$ have played an important role in the understanding of dualities for certain $\mathcal{N}=2$ SCFTs in four dimensions. These defects are typically understood by their behaviour under various dimensional reduction schemes. In their various guises, the defects admit partial descriptions in terms of singularities of Hitchin systems, Nahm boundary conditions or Toda operators. Here, a uniform dictionary between these descriptions is given for a large class of such defects in $\mathcal{X}[\mathfrak{j}],\mathfrak{j}\in A,D,E$.

74pp, lots of tables detailing order reversing duality; (v2) Acknowledgement added. Notation simplified, refs added, minor fixes ; (v3) Minor changes, version accepted in JHEP. I thank the referee for helpful comments towards improving presentation

References in corpus (22)

• Liouville Correlation Functions from Four-dimensional Gauge Theories
• N=2 dualities
• Solutions Of Four-Dimensional Field Theories Via M Theory
• S-Duality of Boundary Conditions In N=4 Super Yang-Mills Theory
• A_{N-1} conformal Toda field theory correlation functions from conformal N=2 SU(N) quiver gauge theories
• Loop and surface operators in N=2 gauge theory and Liouville modular geometry
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• Monopole operators and Hilbert series of Coulomb branches of 3d N = 4 gauge theories
• Nilpotent orbits and codimension-two defects of 6d N=(2,0) theories
• Nonperturbative Tests of Three-Dimensional Dualities
• D-branes, Monopoles and Nahm Equations
• The Virtue of Defects in 4D Gauge Theories and 2D CFTs
• Gauge Theory Loop Operators and Liouville Theory
• Wild Quiver Gauge Theories
• Affine SL(2) conformal blocks from 4d gauge theories
• Irregular singularities in Liouville theory
• The ABCDEFG of Instantons and W-algebras
• Complete Intersection Moduli Spaces in N=4 Gauge Theories in Three Dimensions
• W_3 irregular states and isolated N=2 superconformal field theories
• A finite analog of the AGT relation I: finite W-algebras and quasimaps' spaces
• Hilbert Series for Moduli Spaces of Instantons on C^2/Z_n
• The Euler anomaly and scale factors in Liouville/Toda CFTs

Cited by in corpus (4)

• Computational complexity of the landscape I
• T^σ_ρ(G) Theories and Their Hilbert Series
• A slow review of the AGT correspondence
• Resolutions of nilpotent orbit closures via Coulomb branches of 3-dimensional N=4 theories