A review of the T_N theory and its cousins

Abstract

The T_N theory is a four-dimensional N=2 superconformal field theory that has played a central role in the analysis of supersymmetric dualities in the last few years. The aim of this review is to collect known properties of the T_N theory and its cousins in one place as a quick reference.

47 pages. Please give the author feedbacks *before* the end of April, when he plans to submit the manuscript to a journal

References in corpus (28)

• Conformal collider physics: Energy and charge correlations
• Supersymmetric Boundary Conditions in N=4 Super Yang-Mills Theory
• S-duality in N=2 supersymmetric gauge theories
• Webs of five-branes and N=2 superconformal field theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• Four-Dimensional SCFTs from M5-Branes
• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• Anomaly polynomial of general 6d SCFTs
• Asymptotically free N=2 theories and irregular conformal blocks
• The gravity duals of N=2 superconformal field theories
• 6d, N=(1,0) Coulomb Branch Anomaly Matching
• Chiral Algebras for Trinion Theories
• Quiver Tails and N=1 SCFTs from M5-branes
• Tri-vertices and SU(2)'s
• Mass-deformed $T_N$ as a linear quiver
• Tinkertoys for the Z3-twisted D4 Theory
• Gaiotto Duality for the Twisted A_{2N-1} Series
• AdS5 solutions from M5-branes on Riemann surface and D6-branes sources
• Higher laminations, webs and N=2 line operators
• Rigid Surface Operators
• Four dimensional superconformal theories from M5 branes
• On 2d TQFTs whose values are holomorphic symplectic varieties
• A Family of $4D$ $\mathcal{N}=2$ Interacting SCFTs from the Twisted $A_{2N}$ Series
• Tinkertoys for the Twisted $E_6$ Theory
• Hitchin systems in N=2 field theory
• Families of N=2 field theories
• Line operators in supersymmetric gauge theories and the 2d-4d relation

Cited by in corpus (32)

• Precision test of AdS${}_6$/CFT${}_5$ in Type IIB
• New aspects of Argyres--Douglas theories and their dimensional reduction
• RG flows with supersymmetry enhancement and geometric engineering
• Anomaly Inflow for M5-branes on Punctured Riemann Surfaces
• A slow review of the AGT correspondence
• N=4 Supersymmetric AdS5 Vacua and their Moduli Spaces
• Tinkertoys for the E7 Theory
• 6d $\mathcal{N}=(1,0)$ theories on $S^1/T^2$ and class S theories: part II
• Two 6d origins of 4d SCFTs: class $\mathcal{S}$ and 6d (1,0) on a torus
• Argyres-Douglas Theories in Class S Without Irregularity
• Equivariant Verlinde algebra from superconformal index and Argyres-Seiberg duality
• Theories of Class F and Anomalies
• Class $\mathcal{S}$ Anomalies from M-theory Inflow
• $\mathcal{N}=1$ superconformal theories with $D_N$ blocks
• Structure of Anomalies of 4d SCFTs from M5-branes, and Anomaly Inflow
• Wrapped Branes and Punctured Horizons
• 3d N=4 Bootstrap and Mirror Symmetry
• On $\mathcal{N}=4$ supersymmetry enhancements in three dimensions
• Holographic RG Flows for Four-dimensional $\mathcal{N}=2$ SCFTs
• On minimal Type IIB $Ad{S}_6$ solutions with commuting 7-branes
• Infinitely many N=1 dualities from $m+1-m=1$
• Localization principle in SUSY gauge theories
• Trinion Conformal Blocks from Topological strings
• Topological vertex for Higgsed 5d $T_N$ theories
• Coulomb Branches of Star-Shaped Quivers
• 5D SYM on 3D Deformed Spheres
• Nonabelian Mirror Symmetry Beyond the Chiral Ring
• Dualities for adjoint SQCD in three dimensions and emergent symmetries
• Quiver Polymerisation
• $\mathcal{N}=2$ Argyres-Douglas theories, $\mathcal{N}=1$ SQCD and Seiberg duality
• Confinement and XSB in QCD: Mysteries and beauty of soliton dynamics in nonAbelian gauge theories
• Orbi-Instantons and Class $\mathcal{S}$ Theories of Type D