Mass-deformed $T_N$ as a linear quiver

TL;DR

This paper demonstrates how mass deformations of the non-Lagrangian $T_N$ theory lead to a linear quiver structure, confirmed through multiple theoretical checks including partition functions and Seiberg-Witten curves.

Contribution

It shows that specific mass deformations of $T_N$ theories produce linear quivers, providing new insights into their structure and relations to other gauge theories.

Findings

Mass deformations turn $T_N$ into linear quivers.

Checks include 5d partition functions and Seiberg-Witten curves.

General puncture cases are also studied.

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.