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arXiv · 1410.6868

Mass-deformed $T_N$ as a linear quiver

Hirotaka Hayashi·Yuji Tachikawa·Kazuya Yonekura
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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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Hirotaka Hayashi, Yuji Tachikawa, Kazuya Yonekura. 2014-11-09. Mass-deformed $T_N$ as a linear quiver. https://doi.org/10.1007/jhep02(2015)089

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