Abstract
We study various duality webs involving the 3d FT[SU(N)] theory, a close relative of the T[SU(N)] quiver tail. We first map the partition functions of FT[SU(N)] and its 3d spectral dual to a pair of spectral dual q-Toda conformal blocks. Then we show how to obtain the FT[SU(N)] partition function by Higgsing a 5d linear quiver gauge theory, or equivalently from the refined topological string partition function on a certain toric Calabi-Yau three-fold. 3d spectral duality in this context descends from 5d spectral duality. Finally we discuss the 2d reduction of the 3d spectral dual pair and study the corresponding limits on the q-Toda side. In particular we obtain a new direct map between the partition function of the 2d FT[SU(N)] GLSM and an (N + 2)-point Toda conformal block.
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Nedelin, A., Pasquetti, S. & Zenkevich, Y. T[SU(N)] duality webs: mirror symmetry, spectral duality and gauge/CFT correspondences. J. High Energ. Phys. 2019, 176 (2019). https://doi.org/10.1007/JHEP02(2019)176
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DOI: https://doi.org/10.1007/JHEP02(2019)176