Flipping the head of T[SU(N)]: mirror symmetry, spectral duality and monopoles

Understand

We consider T[SU(N)] and its mirror, and we argue that there are two more dual frames, which are obtained by adding flipping fields for the moment maps on the Higgs and Coulomb branch.

• Turning on a monopole deformation in T[SU(N)], and following its effect on each dual frame, we obtain four new daughter theories dual to each other.
• We are then able to construct pairs of 3d spectral dual theories by performing simple operations on the four dual frames of T[SU(N)].
• Engineering these 3d spectral pairs as codimension-two defect theories coupled to a trivial 5d theory, via Higgsing, we show that our 3d spectral dual theories descends from the 5d spectral duality, or fiber base duality in topological string.