# 4d $$ \mathcal{N}=1 $$ from 6d $$ \mathcal{N}=\left(1,0\right) $$ on a torus with fluxes

## Abstract

Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C ^{2}/Z _{k} singularities.

- Authors:

- Univ. of California, San Diego, CA (United States). Dept. of Physics; Johns Hopkins Univ., Baltimore, MD (United States). Dept. of Physics and Astronomy
- Imperial College, London (United Kingdom)
- Seikei Univ., Tokyo (Japan)
- Technion, Haifa (Israel). Dept. of Physics
- Univ. of Tokyo (Japan). Inst. for the Physics and Mathematics of the Universe (IPMU)

- Publication Date:

- Research Org.:
- Univ. of California, San Diego, CA (United States)

- Sponsoring Org.:
- USDOE Office of Science (SC)

- OSTI Identifier:
- 1374894

- Grant/Contract Number:
- SC0009919

- Resource Type:
- Journal Article: Accepted Manuscript

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

- Additional Journal Information:
- Journal Name: Journal of High Energy Physics (Online); Journal Volume: 2017; Journal Issue: 6; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Field Theories in Higher Dimensions; Supersymmetric Gauge Theory

### Citation Formats

```
Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, and Zafrir, Gabi.
```*4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes*. United States: N. p., 2017.
Web. doi:10.1007/JHEP06(2017)022.

```
Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, & Zafrir, Gabi.
```*4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes*. United States. doi:10.1007/JHEP06(2017)022.

```
Bah, Ibrahima, Hanany, Amihay, Maruyoshi, Kazunobu, Razamat, Shlomo S., Tachikawa, Yuji, and Zafrir, Gabi. Mon .
"4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes". United States.
doi:10.1007/JHEP06(2017)022. https://www.osti.gov/servlets/purl/1374894.
```

```
@article{osti_1374894,
```

title = {4d $ \mathcal{N}=1 $ from 6d $ \mathcal{N}=\left(1,0\right) $ on a torus with fluxes},

author = {Bah, Ibrahima and Hanany, Amihay and Maruyoshi, Kazunobu and Razamat, Shlomo S. and Tachikawa, Yuji and Zafrir, Gabi},

abstractNote = {Compactifying N = (1, 0) theories on a torus, with additional fluxes for global symmetries, we obtain N = 1 supersymmetric theories in four dimensions. It is shown that for many choices of flux these models are toric quiver gauge theories with singlet fields. Particularly we compare the anomalies deduced from the description of the six dimensional theory and the anomalies of the quiver gauge theories. Also, we give predictions for anomalies of four-dimensional theories corresponding to general compactifi cations of M5-branes probing C2/Zk singularities.},

doi = {10.1007/JHEP06(2017)022},

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

number = 6,

volume = 2017,

place = {United States},

year = {Mon Jun 05 00:00:00 EDT 2017},

month = {Mon Jun 05 00:00:00 EDT 2017}

}

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Cited by: 4 works

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