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Mass-deformed $T_N$ as a linear quiver
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abstract
The $T_N$ theory is a non-Lagrangian theory with SU(N) flavor symmetry. We argue that when mass terms are given so that two of SU(N)'s are both broken to SU(N-1) x U(1), it becomes $T_{N-1}$ theory coupled to an SU(N-1) vector multiplet together with N fundamentals. This implies that when two of SU(N)'s are both broken to U(1)$^{N-1}$, the theory becomes a linear quiver. We perform various checks of this statement, by using the 5d partition function, the structure of the coupling constants, the Higgs branch, and the Seiberg-Witten curve. We also study the case with more general punctures.
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Exact results for 5d SCFTs of long quiver type
Analytic saddle-point solutions of the squashed S5 localization matrix model yield exact large-N free energies for long-quiver 5d SCFTs, matching holographic predictions.
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