Seiberg-Witten for $Spin(n)$ with Spinors

Abstract

$\mathcal{N}=2$ supersymmetric $Spin(n)$ gauge theory admits hypermultiplets in spinor representations of the gauge group, compatible with $\beta \le 0$, for $n\le 14$. The theories with $\beta <0$ can be obtained as mass-deformations of the $\beta =0$ theories, so it is of greatest interest to construct the $\beta =0$ theories. In previous works, we discussed the $n\le 8$ theories. Here, we turn to the $9\le n\le 14$ cases. By compactifying the $D_N$ (2,0) theory on a 4-punctured sphere, we find Seiberg-Witten solutions to almost all of the remaining cases. There are five theories, however, which do not seem to admit a realization from six dimensions.

28 pages, 54 figures

References in corpus (7)

• S-duality in N=2 supersymmetric gauge theories
• Tinkertoys for Gaiotto Duality
• A holographic computation of the central charges of d=4, N=2 SCFTs
• Six-dimensional D_N theory and four-dimensional SO-USp quivers
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Cited by in corpus (8)

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• Comments on the twisted punctures of $A_{\text{even}}$ class S theory
• Octonion-valued forms and the canonical 8-form on Riemannian manifolds with a $Spin(9)$-structure
• 1-form Symmetries of 4d N=2 Class S Theories