Exact solutions for some N=2 supersymmetric SO(N) gauge theories with vectors and spinors
Mina Aganagic, Martin Gremm
TL;DR
This paper derives exact solutions for certain N=2 supersymmetric SO(N) gauge theories with matter in vectors and spinors, connecting string compactifications to gauge theory solutions.
Contribution
It provides the first exact solutions for these gauge theories with specific matter content, using mirror symmetry and string theory compactifications.
Findings
Exact solutions for SO(N) gauge theories with vectors and spinors.
Connection between string compactifications and gauge theory solutions.
Proposed generalizations to theories with arbitrary matter content.
Abstract
We find exact solutions for N=2 supersymmetric SO(N), N=7,9,10,11,12 gauge theories with matter in the fundamental and spinor representation. These theories, with specific numbers of vectors and spinors, arise naturally in the compactification of type IIA string theory on suitably chosen Calabi-Yau threefolds. Exact solutions are obtained by using mirror symmetry to find the corresponding type IIB compactification. We propose generalizations of these results to cases with arbitrary numbers of massive vectors and spinors.
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