Tinkertoys for the D-N series

作者：Chacaltana Oscar^*; Distler Jacques

来源：The Journal of High Energy Physics, 2013, 2013(2): 110.

DOI：10.1007/JHEP02(2013)110

• Supersymmetry and Duality
• Extended Supersymmetry
• Duality in Gauge Field Theories
• M-Theory

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 C 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 D-4. 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].

• 出版日期2013-2