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6. Four-dimensional $\mathcal{N}=3$ theories

    1.     In [MR3512276] Aharony and Evtikhiev give an analysis of the constraints on possible $d=4$, $\mathcal{N}=3$ theories which do not also have $\mathcal{N}=4$ supersymmetry (but do not construct any examples). In [arXiv:1512.06434] García-Etxebarria and Regalado give a physical construction of some examples.

      Add remark

      Problem 6.1.

      Obtain mathematical constructions of $d=4$ $\mathcal{N}=3$ theories.

          Cite this as: AimPL: Singular geometry and Higgs bundles in string theory, available at http://aimpl.org/singularhiggs.