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Tinkertoys for the D_N series | | Oscar Chacaltana
; Jacques Distler
; | | Date: |
27 Jun 2011 | | 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 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]. | | Source: | arXiv, 1106.5410 | | Services: | Forum | Review | PDF | Favorites | |
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