# Emergent gravity from a mass deformation in warped spacetime

## Abstract

We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth deformation of the Randall-Sundrum graviton wave function and can be localized anywhere in the bulk. There is also a vector zero mode with similar localization properties, which is decoupled from conserved sources at tree level. Interestingly, there are no scalar modes, and the model is ghost-free at the linearized level. When the tensor zero mode is localized near the IR brane, the dual interpretation is a composite graviton describing an emergent (induced) theory of gravity at the IR scale. In this case Newton's law of gravity changes to a new power law below the millimeter scale, with an exponent that can even be irrational.

- Authors:

- School of Physics and Astronomy, University of Minnesota, Minneapolis, Minnesota 55455 (United States)
- Department of Physics, University of Toronto, Toronto, ON M5S 1A7 (Canada)

- Publication Date:

- OSTI Identifier:
- 20711556

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 72; Journal Issue: 10; Other Information: DOI: 10.1103/PhysRevD.72.104003; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; COSMOLOGY; DEFORMATION; GRAVITATION; GRAVITONS; MASS; MEMBRANES; QUANTUM FIELD THEORY; SCALARS; SPACE-TIME; VECTORS; WAVE FUNCTIONS

### Citation Formats

```
Gherghetta, Tony, Peloso, Marco, and Poppitz, Erich.
```*Emergent gravity from a mass deformation in warped spacetime*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevD.72.104003.

```
Gherghetta, Tony, Peloso, Marco, & Poppitz, Erich.
```*Emergent gravity from a mass deformation in warped spacetime*. United States. doi:10.1103/PhysRevD.72.104003.

```
Gherghetta, Tony, Peloso, Marco, and Poppitz, Erich. Tue .
"Emergent gravity from a mass deformation in warped spacetime". United States.
doi:10.1103/PhysRevD.72.104003.
```

```
@article{osti_20711556,
```

title = {Emergent gravity from a mass deformation in warped spacetime},

author = {Gherghetta, Tony and Peloso, Marco and Poppitz, Erich},

abstractNote = {We consider a deformation of five-dimensional warped gravity with bulk and boundary mass terms to quadratic order in the action. We show that massless zero modes occur for special choices of the masses. The tensor zero mode is a smooth deformation of the Randall-Sundrum graviton wave function and can be localized anywhere in the bulk. There is also a vector zero mode with similar localization properties, which is decoupled from conserved sources at tree level. Interestingly, there are no scalar modes, and the model is ghost-free at the linearized level. When the tensor zero mode is localized near the IR brane, the dual interpretation is a composite graviton describing an emergent (induced) theory of gravity at the IR scale. In this case Newton's law of gravity changes to a new power law below the millimeter scale, with an exponent that can even be irrational.},

doi = {10.1103/PhysRevD.72.104003},

journal = {Physical Review. D, Particles Fields},

number = 10,

volume = 72,

place = {United States},

year = {Tue Nov 15 00:00:00 EST 2005},

month = {Tue Nov 15 00:00:00 EST 2005}

}