Abstract
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 map 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 descend from spectral duality in 5d, or fiber base duality in topological string. We provide further consistency checks about our web of dualities by matching partition functions on the squashed sphere, and in the case of spectral duality, matching exactly topological string computations with holomorphic blocks.
Highlights
JHEP04(2019)138 quantities such as partition functions of N ≥ 2 theories on various 3-manifolds, and test a plethora of old and new IR dualities
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 map on the Higgs and Coulomb branch
We are 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 descend from spectral duality in 5d, or fiber base duality in topological string
Summary
It is well known that T [SU(N +1)] is self-dual under mirror symmetry [5]. The dual theory, hereafter T [SU(N + 1)] , has quiver diagram. The fact that T [SU(N + 1) is self-dual under mirror symmetry can be neatly derived from the IIB brane engineering of the T [SU(N + 1)]. The NS5 and D5 branes are separated in the third direction, where (N + 1) D3 branes are stretched in between, so that each NS5 brane is connected to a distinct D5 brane These D3 branes extend along directions 0123, but since they are bounded in the third direction by D5 and NS5 branes, the low energy dynamics on their wordlvolume is threedimensional. It is precisely the T [SU(N +1)] theory. One can think of this transformation as the exchange of the 456 and 789 directions
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