# 4d SCFTs from negative-degree line bundles

## Abstract

We compose 4d $$\mathcal{N}$$ =1 quantum field theories by compactifying the (2,0) theories on a Riemann surface with genus *g* and *n* punctures, where the normal bundle decomposes into a sum of two line bundles with possibly negative degrees *p* and *q*. Not long ago, the only available field-theoretic constructions required the line bundle degrees to be nonnegative, although supergravity solutions were constructed in the literature for the zero-puncture case for all *p* and *q*. Here, we provide field-theoretic constructions and computations of the central charges of 4d $$\mathcal{N}$$=1 SCFTs that are the IR limit of M5-branes wrapping a surface with general *p* or *q* negative, for general genus *g* and number of maximal punctures *n*.

- Authors:

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

- Publication Date:

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

- Sponsoring Org.:
- USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)

- OSTI Identifier:
- 1504753

- Grant/Contract Number:
- SC0009919

- 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: 8; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

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

### Citation Formats

```
Nardoni, Emily. 4d SCFTs from negative-degree line bundles. United States: N. p., 2018.
Web. doi:10.1007/jhep08(2018)199.
```

```
Nardoni, Emily. 4d SCFTs from negative-degree line bundles. United States. doi:10.1007/jhep08(2018)199.
```

```
Nardoni, Emily. Fri .
"4d SCFTs from negative-degree line bundles". United States. doi:10.1007/jhep08(2018)199. https://www.osti.gov/servlets/purl/1504753.
```

```
@article{osti_1504753,
```

title = {4d SCFTs from negative-degree line bundles},

author = {Nardoni, Emily},

abstractNote = {We compose 4d $\mathcal{N}$ =1 quantum field theories by compactifying the (2,0) theories on a Riemann surface with genus g and n punctures, where the normal bundle decomposes into a sum of two line bundles with possibly negative degrees p and q. Not long ago, the only available field-theoretic constructions required the line bundle degrees to be nonnegative, although supergravity solutions were constructed in the literature for the zero-puncture case for all p and q. Here, we provide field-theoretic constructions and computations of the central charges of 4d $\mathcal{N}$=1 SCFTs that are the IR limit of M5-branes wrapping a surface with general p or q negative, for general genus g and number of maximal punctures n.},

doi = {10.1007/jhep08(2018)199},

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

number = 8,

volume = 2018,

place = {United States},

year = {2018},

month = {8}

}

*Citation information provided by*

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