### New dualities and misleading anomaly matchings from outer-automorphism twists

We study four-dimensional N=1, 2 superconformal theories in class S obtained by compactifying the 6d N=(2, 0) theory on a Riemann surface C with outer-automorphism twist lines. From the pair-of-pants decompositions of C, we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S theories with twist lines wrapping 1-cycles of C have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. As a result, this provides a large set of examples where the anomaly matching is insufficient to test dualities.

- Publication Date:

- Grant/Contract Number:
- SC0009919

- Type:
- 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: 3; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

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

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

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; anomalies in field and string theories; supersymmetric gauge theory; supersymmetry and duality; M-theory

- OSTI Identifier:
- 1361192

```
Pal, Sridip, and Song, Jaewon.
```*New dualities and misleading anomaly matchings from outer-automorphism twists*. United States: N. p.,
Web. doi:10.1007/JHEP03(2017)159.

```
Pal, Sridip, & Song, Jaewon.
```*New dualities and misleading anomaly matchings from outer-automorphism twists*. United States. doi:10.1007/JHEP03(2017)159.

```
Pal, Sridip, and Song, Jaewon. 2017.
"New dualities and misleading anomaly matchings from outer-automorphism twists". United States.
doi:10.1007/JHEP03(2017)159. https://www.osti.gov/servlets/purl/1361192.
```

```
@article{osti_1361192,
```

title = {New dualities and misleading anomaly matchings from outer-automorphism twists},

author = {Pal, Sridip and Song, Jaewon},

abstractNote = {We study four-dimensional N=1, 2 superconformal theories in class S obtained by compactifying the 6d N=(2, 0) theory on a Riemann surface C with outer-automorphism twist lines. From the pair-of-pants decompositions of C, we find various dual descriptions for the same theory having distinct gauge groups. We show that the various configurations of the twist line give rise to dual descriptions for the identical theory. We compute the ’t Hooft anomaly coefficients and the superconformal indices to test dualities. Surprisingly, we find that the class S theories with twist lines wrapping 1-cycles of C have the identical ’t Hooft anomalies as the ones without the twist line, whereas the superconformal indices differ. As a result, this provides a large set of examples where the anomaly matching is insufficient to test dualities.},

doi = {10.1007/JHEP03(2017)159},

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

number = 3,

volume = 2017,

place = {United States},

year = {2017},

month = {3}

}