Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories - INSPIRE

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Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories

Kazuya Yonekura
(
- Princeton, Inst. Advanced Study
)

May 18, 2015

23 pages

Published in:

JHEP 07 (2015) 167

Published: Jul 31, 2015

e-Print:

1505.04743 [hep-th]

DOI:

10.1007/JHEP07(2015)167

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Abstract: (Springer)

We consider general 5d SU(N ) quiver gauge theories whose nodes form an ADE Dynkin diagram of type G. Each node has SU(N

_{i}

) gauge group of general rank, Chern-Simons level κ

_{i}

and additional w

_{i}

fundamentals. When the total flavor number at each node is less than or equal to 2N

_{i}

− 2|κ

_{i}

|, we give general rules under which the symmetries associated to instanton currents are enhanced to G × G or a subgroup of it in the UV 5d superconformal theory. When the total flavor number violates that condition at some of the nodes, further enhancement of flavor symmetries occurs. In particular we find a large class of gauge theories interpreted as S

^{1}

compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

Note:

22 pages; v2: references added

Supersymmetric gauge theory
Field Theories in Higher Dimensions
Solitons Monopoles and Instantons
gauge field theory: quiver
symmetry: flavor
symmetry: enhancement
instanton
conformal
compactification
supersymmetry

References(47)

Figures(0)

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