# Constraints on Symmetries from Holography

## Abstract

In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within the anti–de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the nonperturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.

- Authors:

- Publication Date:

- Research Org.:
- California Inst. of Technology (CalTech), Pasadena, CA (United States)

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

- OSTI Identifier:
- 1513311

- Alternate Identifier(s):
- OSTI ID: 1597451

- Grant/Contract Number:
- [SC0011632; SC0019127; SC0018944]

- Resource Type:
- Published Article

- Journal Name:
- Physical Review Letters

- Additional Journal Information:
- [Journal Name: Physical Review Letters Journal Volume: 122 Journal Issue: 19]; Journal ID: ISSN 0031-9007

- Publisher:
- American Physical Society (APS)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 79 ASTRONOMY AND ASTROPHYSICS; 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

### Citation Formats

```
Harlow, Daniel, and Ooguri, Hirosi. Constraints on Symmetries from Holography. United States: N. p., 2019.
Web. doi:10.1103/PhysRevLett.122.191601.
```

```
Harlow, Daniel, & Ooguri, Hirosi. Constraints on Symmetries from Holography. United States. doi:10.1103/PhysRevLett.122.191601.
```

```
Harlow, Daniel, and Ooguri, Hirosi. Fri .
"Constraints on Symmetries from Holography". United States. doi:10.1103/PhysRevLett.122.191601.
```

```
@article{osti_1513311,
```

title = {Constraints on Symmetries from Holography},

author = {Harlow, Daniel and Ooguri, Hirosi},

abstractNote = {In this Letter we show that a set of old conjectures about symmetries in quantum gravity hold within the anti–de Sitter/conformal field theory correspondence. These conjectures are that no global symmetries are possible, that internal gauge symmetries must come with dynamical objects that transform in all irreducible representations, and that internal gauge groups must be compact. These conjectures are not obviously true from a bulk perspective, they are nontrivial consequences of the nonperturbative consistency of the correspondence. More details of and background for these arguments are presented in an accompanying paper.},

doi = {10.1103/PhysRevLett.122.191601},

journal = {Physical Review Letters},

number = [19],

volume = [122],

place = {United States},

year = {2019},

month = {5}

}

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DOI: 10.1103/PhysRevLett.122.191601

DOI: 10.1103/PhysRevLett.122.191601

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Cited by: 8 works

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