Mass-deformed $T_N$ as a linear quiver

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.

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

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• The Refined Topological Vertex
• S-duality in N=2 supersymmetric gauge theories
• Webs of five-branes and N=2 superconformal field theories
• The 4d Superconformal Index from q-deformed 2d Yang-Mills
• 5-dim Superconformal Index with Enhanced En Global Symmetry
• Mirrors of 3d Sicilian theories
• Tinkertoys for Gaiotto Duality
• The gravity duals of N=2 superconformal field theories
• Surface Operator, Bubbling Calabi-Yau and AGT Relation
• Exact partition functions of Higgsed 5d $T_N$ theories
• The moduli space of vacua of N=2 class S theories

Cited by in corpus (5)

• Instanton operators and symmetry enhancement in 5d supersymmetric gauge theories
• Fiber-Base Duality and Global Symmetry Enhancement
• ADE Little String Theory on a Riemann Surface (and Triality)
• Infinitely many N=1 dualities from $m+1-m=1$
• SCFTs, Holography, and Topological Strings