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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机译：摘要我们研究了涉及3D FT [SU（n）]理论的各种二元纤维网，近亲的近亲抖动。首先将FT [SU（n）]的分区功能及其3D光谱双向映射到一对光谱双Q-TODA共形块。然后，我们展示了如何通过满足5D线性箭头理论来获得FT [su（n）]分区功能，或者从一定的拓扑串分区功能等效地从一定的复曲调yau三折。在此上下文中的3D光谱二元性从5D光谱二元度下降。最后，我们讨论了3D光谱双对的2D减小，并研究了Q-TODA侧的相应限制。特别地，我们在2D FT [SU（n）] GLSM和（n + 2）点 - 点共形块之间获得新的直接映射。
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