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arxiv 1404.3736 v1 pith:N7PG3R2O submitted 2014-04-14 hep-th

Seiberg-Witten for Spin(n) with Spinors

classification hep-th
keywords theoriesbetacasesgaugeseiberg-wittenspintheoryadmit
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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$\mathcal{N}=2$ supersymmetric $Spin(n)$ gauge theory admits hypermultiplets in spinor representations of the gauge group, compatible with $\beta\leq0$, for $n\leq 14$. 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 $n\leq8$ theories. Here, we turn to the $9\leq n\leq 14$ 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.

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  1. Thermodynamic limit for SO(2N) gauge theories with spinors/conjugate spinors

    hep-th 2026-07 conditional novelty 6.0

    The distinction between spinor and conjugate spinor matter in 5D SO(2N) gauge theories manifests as different boundary conditions on the Seiberg-Witten curve at O5-plane positions (w=±1).