English

Mass-deformed $T_N$ as a linear quiver

High Energy Physics - Theory 2015-06-23 v2

Abstract

The TNT_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 TN1T_{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)N1^{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.

Cite

@article{arxiv.1410.6868,
  title  = {Mass-deformed $T_N$ as a linear quiver},
  author = {Hirotaka Hayashi and Yuji Tachikawa and Kazuya Yonekura},
  journal= {arXiv preprint arXiv:1410.6868},
  year   = {2015}
}

Comments

36 pages, 5 figures; v2: short discussions on 3d T_N theory appended, typos corrected, and references added

R2 v1 2026-06-22T06:36:10.730Z