## Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges

## Abstract

This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional N = 2 SCFTs. In the first two papers [1, 2] we developed and carried out a strategy for classifying and constructing physical planar rank-1 Coulomb branch geometries of N = 2 SCFTs. Presently, we describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges. We conclude with a summary of the state of the art for rank-1 N = 2 SCFTs.

- Authors:

- Univ. of Cincinnati, OH (United States). Physics Dept.

- Publication Date:

- Research Org.:
- Univ. of Cincinnati, OH (United States)

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

- OSTI Identifier:
- 1499175

- Grant/Contract Number:
- SC0011784

- 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: 2018; Journal Issue: 2; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Conformal and W Symmetry; Conformal Field Theory; Extended Supersymmetry; Supersymmetric Gauge Theory

### Citation Formats

```
Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges. United States: N. p., 2018.
Web. doi:10.1007/jhep02(2018)003.
```

```
Argyres, Philip, Lotito, Matteo, Lü, Yongchao, & Martone, Mario. Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges. United States. doi:10.1007/jhep02(2018)003.
```

```
Argyres, Philip, Lotito, Matteo, Lü, Yongchao, and Martone, Mario. Thu .
"Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges". United States. doi:10.1007/jhep02(2018)003. https://www.osti.gov/servlets/purl/1499175.
```

```
@article{osti_1499175,
```

title = {Geometric constraints on the space of N=2 SCFTs. Part III: enhanced Coulomb branches and central charges},

author = {Argyres, Philip and Lotito, Matteo and Lü, Yongchao and Martone, Mario},

abstractNote = {This is the third in a series of three papers on the systematic analysis of rank 1 four dimensional N = 2 SCFTs. In the first two papers [1, 2] we developed and carried out a strategy for classifying and constructing physical planar rank-1 Coulomb branch geometries of N = 2 SCFTs. Presently, we describe general features of the Higgs and mixed branch geometries of the moduli space of these SCFTs, and use this, along with their Coulomb branch geometry, to compute their conformal and flavor central charges. We conclude with a summary of the state of the art for rank-1 N = 2 SCFTs.},

doi = {10.1007/jhep02(2018)003},

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

number = 2,

volume = 2018,

place = {United States},

year = {2018},

month = {2}

}

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Cited by: 16 works

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