Abstract
$$ \mathcal{N}=2 $$ supersymmetric Spin(n) gauge theory admits hypermultiplets in spinor representations of the gauge group, compatible with β ≤ 0, for n ≤ 14. The theories with β < 0 can be obtained as mass-deformations of the β = 0 theories, so it is of greatest interest to construct the β = 0 theories. In previous works, we discussed the n ≤ 8 theories. Here, we turn to the 9 ≤ n ≤ 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.
Highlights
N = 2 supersymmetric Spin(n) gauge theory, with n − 2 hypermultiplets in the vector representation, is superconformal for any n > 2, and the Seiberg-Witten solutions are known from the mid 1990’s [1, 2]
The theories with β < 0 can be obtained as mass-deformations of the β = 0 theories, so it is of greatest interest to construct the β = 0 theories
We turn to the 9 ≤ n ≤ 14 cases
Summary
N = 2 supersymmetric Spin(n) gauge theory, with n − 2 hypermultiplets in the vector representation, is superconformal for any n > 2, and the Seiberg-Witten solutions are known from the mid 1990’s [1, 2]. With at least one (half-)hypermultiplet in the spinor representation, we can find an untwisted fixture and — wherever possible — we prefer to work in the untwisted theory. From these realizations as 4-punctured spheres, we construct the corresponding Seiberg-Witten geometries, and discuss the strong-coupling S-dual realizations [15] of the gauge theories
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