  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. We provide further consistency checks about the
web of dualities we constructed by matching partition functions on the three
sphere, and in the case of spectral duality, matching exactly topological
string computations with holomorphic blocks.
