Tinkertoys for the D N series

2011/06/30 by Oscar Chacaltana, Jacques Distler · 2 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Combinatorics #Duality (order theory) #Gauge (firearms) #Gauge group #Gauge theory #Group (periodic table) #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Philosophy #Physics #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Quantum mechanics #Series (stratigraphy) #Simple (philosophy) #Theoretical physics #hep-th

paper · pdf · doi:10.1007/jhep02(2013)110

published as JHEP 1302 (2013) 110 · 53 pages, 268 figures, LaTeX2e, utarticle class. Version 3: JHEP version, with a few typos in the tables corrected. Version 2: global symmetries corrected, for 7 entries in table of interacting SCFTs in D4 theory. Thanks to Simone Giacomelli and Yuji Tachikawa for alerting us to the problem in version 1

openalex publication_date 2013/02/01 · arxiv created 2013/09/10 · arxiv updated 2015/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We describe a procedure for classifying 4D N=2 superconformal theories of the type introduced by Davide Gaiotto. Any punctured curve, C, on which the 6D (2,0) SCFT is compactified, may be decomposed into 3-punctured spheres, connected by cylinders. The 4D theories, which arise, can be characterized by listing the "matter" theories corresponding to 3-punctured spheres, the simple gauge group factors, corresponding to cylinders, and the rules for connecting these ingredients together. Different pants decompositions of correspond to different S-duality frames for the same underlying family of 4D N=2 SCFTs. In a previous work [1], we developed such a classification for the A_N-1 series of 6D (2,0) theories. In the present paper, we extend this to the D_N series. We outline the procedure for general D_N, and construct, in detail, the classification through D₄. We discuss the implications for S-duality in Spin(8) and Spin(7) gauge theory, and recover many of the dualities conjectured by Argyres and Wittig [2].

Citations

• Implications of Conformal Invariance in Field Theories for General Dimensions
• Seiberg-Witten geometry with various matter contents
• Wall-crossing, Hitchin systems, and the WKB approximation
• Gauge Theory, Ramification, And The Geometric Langlands Program
• Wall-crossing, Hitchin Systems, and the WKB Approximation
• The gravity duals of N=2 superconformal field theories

Cited by

• Factorised 3d N = 4 orthosymplectic quivers
• Classification of 4d N =2 gauge theories