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

## Abstract

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 S1 compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.

- Authors:

- Inst. for Advanced Study, Princeton, NJ (United States)

- Publication Date:

- Research Org.:
- Inst. for Advanced Study, Princeton, NJ (United States)

- Sponsoring Org.:
- USDOE

- OSTI Identifier:
- 1454725

- Grant/Contract Number:
- SC0009988

- Resource Type:
- Accepted Manuscript

- Journal Name:
- Journal of High Energy Physics (Online)

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2015; Journal Issue: 7; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Supersymmetric gauge theory, Field Theories in Higher Dimensions, Solitons Monopoles and Instantons

### Citation Formats

```
Yonekura, Kazuya. Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories. United States: N. p., 2015.
Web. doi:10.1007/JHEP07(2015)167.
```

```
Yonekura, Kazuya. Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories. United States. doi:10.1007/JHEP07(2015)167.
```

```
Yonekura, Kazuya. Fri .
"Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories". United States. doi:10.1007/JHEP07(2015)167. https://www.osti.gov/servlets/purl/1454725.
```

```
@article{osti_1454725,
```

title = {Instanton operators and symmetry enhancement in 5d supersymmetric quiver gauge theories},

author = {Yonekura, Kazuya},

abstractNote = {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 S1 compactification of 6d superconformal theories which are waiting for string/F-theory realization. We also consider hypermultiplets in (anti-)symmetric representation.},

doi = {10.1007/JHEP07(2015)167},

journal = {Journal of High Energy Physics (Online)},

number = 7,

volume = 2015,

place = {United States},

year = {2015},

month = {7}

}

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