# A nonlinear extension of the spin-2 partially massless symmetry

## Abstract

Here, we investigate the possibility of extending the “partially massless” symmetry of a spin-2 field in de Sitter to nonlinear order. To do so, we impose a closure condition on the symmetry transformations. This requirement imposes strong constraints on the form of the nonlinear symmetry while making only minimal assumptions about the form of the nonlinear partially massless action. We find a unique nonlinear extension of the free partially massless symmetry. However, we show that no consistent Lagrangian that contains at most two derivatives of the fields can realize this symmetry.

- Authors:

- Columbia Univ., New York, NY (United States). Physics Dept. and Inst. for Strings, Cosmology, and Astroparticle Physics

- Publication Date:

- Research Org.:
- Columbia Univ., New York, NY (United States)

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

- OSTI Identifier:
- 1454502

- Grant/Contract Number:
- SC0011941

- 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: 2015; Journal Issue: 5; Journal ID: ISSN 1029-8479

- Publisher:
- Springer Berlin

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; Gauge Symmetry; Classical Theories of Gravity

### Citation Formats

```
Garcia-Saenz, Sebastian, and Rosen, Rachel A. A nonlinear extension of the spin-2 partially massless symmetry. United States: N. p., 2015.
Web. doi:10.1007/JHEP05(2015)042.
```

```
Garcia-Saenz, Sebastian, & Rosen, Rachel A. A nonlinear extension of the spin-2 partially massless symmetry. United States. doi:10.1007/JHEP05(2015)042.
```

```
Garcia-Saenz, Sebastian, and Rosen, Rachel A. Thu .
"A nonlinear extension of the spin-2 partially massless symmetry". United States. doi:10.1007/JHEP05(2015)042. https://www.osti.gov/servlets/purl/1454502.
```

```
@article{osti_1454502,
```

title = {A nonlinear extension of the spin-2 partially massless symmetry},

author = {Garcia-Saenz, Sebastian and Rosen, Rachel A.},

abstractNote = {Here, we investigate the possibility of extending the “partially massless” symmetry of a spin-2 field in de Sitter to nonlinear order. To do so, we impose a closure condition on the symmetry transformations. This requirement imposes strong constraints on the form of the nonlinear symmetry while making only minimal assumptions about the form of the nonlinear partially massless action. We find a unique nonlinear extension of the free partially massless symmetry. However, we show that no consistent Lagrangian that contains at most two derivatives of the fields can realize this symmetry.},

doi = {10.1007/JHEP05(2015)042},

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

number = 5,

volume = 2015,

place = {United States},

year = {2015},

month = {5}

}

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