TY - JOUR

T1 - Mass-deformed T N as a linear quiver

AU - Hayashi, Hirotaka

AU - Tachikawa, Yuji

AU - Yonekura, Kazuya

N1 - Publisher Copyright:
© 2015, The Author(s).

PY - 2015/2

Y1 - 2015/2

N2 - Abstract: The TN theory is a non-Lagrangian theory with SU(N)3 flavor symmetry. We argue that when mass terms are given so that two of SU(N)’s are both broken to SU(N −1)×U(1), it becomes TN −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.

AB - Abstract: The TN theory is a non-Lagrangian theory with SU(N)3 flavor symmetry. We argue that when mass terms are given so that two of SU(N)’s are both broken to SU(N −1)×U(1), it becomes TN −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.

KW - Field Theories in Higher Dimensions

KW - Supersymmetric gauge theory

KW - Topological Strings

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U2 - 10.1007/JHEP02(2015)089

DO - 10.1007/JHEP02(2015)089

M3 - Article

AN - SCOPUS:84923274073

VL - 2015

JO - Journal of High Energy Physics

JF - Journal of High Energy Physics

SN - 1126-6708

IS - 2

M1 - 89

ER -