N = 2 dualities

2009/04/17 by Davide Gaiotto · 38 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Class (philosophy) #Computer science #Duality (order theory) #Gauge (firearms) #Gauge anomaly #Gauge theory #Generalization #Mathematical analysis #Mathematical physics #Mathematics #Moduli space #Particle physics theoretical and experimental studies #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Quiver #Riemann surface #S-duality #Seiberg duality #Space (punctuation) #Supersymmetric gauge theory #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep08(2012)034

59 pages, 43 figures

arxiv created 2009/04/17 · openalex publication_date 2012/08/01 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We study the generalization of S-duality and Argyres-Seiberg duality for a large class of N=2 superconformal gauge theories. We identify a family of strongly interacting SCFTs and use them as building blocks for generalized superconformal quiver gauge theories. This setup provides a detailed description of the ``very strongly coupled'' regions in the moduli space of more familiar gauge theories. As a byproduct, we provide a purely four dimensional construction of N=2 theories defined by wrapping M5 branes over a Riemann surface.

Citations

• On N = 2 supersymmetric QCD with four flavors
• Monopoles, duality and chiral symmetry breaking in N = 2 supersymmetric QCD
• Wall-crossing, Hitchin systems, and the WKB approximation

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• Exploring W ∞ W_∞ in the quadratic basis
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• Central Charges and the Sign of Entanglement in 4D Conformal Field Theories
• Surface defects as transfer matrices
• Mayer-cluster expansion of instanton partition functions and thermodynamic bethe ansatz
• Ω-deformation and quantization
• 4d N=2 S-folds
• Topological AdS/CFT
• Holographic aspects of four dimensional N=2 SCFTs and their marginal deformations
• On resummation of the irregular conformal block
• The toroidal block and the genus expansion
• Non-Abelian gauge theories invariant under diffeomorphisms
• Rigid Holography and Six-Dimensional N=(2,0) Theories on AdS₅ times S¹
• M‐Branes: Lessons from M2's and Hopes for M5's
• A brief review of the 2d/4d correspondences *
• VOAs and Rank-Two Instanton SCFTs
• Seiberg-Witten theory, matrix model and AGT relation
• String junctions and holographic interfaces
• A note on 4d N=3 from little string theory
• AdS6 solutions of type II supergravity
• Six-Dimensional Superconformal Theories and their Compactifications from Type IIA Supergravity
• Carving out the end of the world or (superconformal bootstrap in six dimensions)
• On AGT description of N = 2 SCFT with N f = 4
• E8 orbits of IR dualities
• Large N correlation functions N N = 2 superconformal quivers
• Compactification on the Ω-background and the AGT correspondence
• Classification of 4d N =2 gauge theories
• Stress-tensor OPE in N = 2 N=2 superconformal theories
• RECENT PROGRESS IN AdS/CFT
• Exact partition functions for the Ω-deformed N = 2 ∗ N=2^∗ SU(2) gauge theory
• On 5-point conformal block with level 2 degenerate field insertion and its AGT dual
• Toda theory from six dimensions

Related

• The gravity duals of N=2 superconformal field theories
• New N = 2 dualities
• S-duality in N=2 supersymmetric gauge theories
• N=2 Superconformal Field Theories in 4 Dimensions and A-D-E Classification
• Superconformal D-branes and moduli spaces