# Inflation from periodic extra dimensions

## Abstract

We discuss a realization of a small field inflation based on string inspired supergravities. In theories accompanying extra dimensions, compactification of them with small radii is required for realistic situations. Since the extra dimension can have a periodicity, there will appear (quasi-)periodic functions under transformations of moduli of the extra dimensions in low energy scales. Such a periodic property can lead to a UV completion of so-called multi-natural inflation model where inflaton potential consists of a sum of multiple sinusoidal functions with a decay constant smaller than the Planck scale. As an illustration, we construct a SUSY breaking model, and then show that such an inflaton potential can be generated by a sum of world sheet instantons in intersecting brane models on extra dimensions containing orbifold. We show also predictions of cosmic observables by numerical analyzes.

- Authors:

- Department of Physics, Keio University, Kanagawa 223-8522 (Japan)
- Department of Physics, Waseda University, Tokyo 169-8555 (Japan)

- Publication Date:

- OSTI Identifier:
- 22676117

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2017; Journal Issue: 07; Other Information: Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; BRANES; COMPACTIFICATION; FORECASTING; INFLATIONARY UNIVERSE; INFLATONS; INSTANTONS; M-THEORY; PARTICLE DECAY; PERIODICITY; SUPERGRAVITY; SUPERSYMMETRY; SYMMETRY BREAKING; TRANSFORMATIONS

### Citation Formats

```
Higaki, Tetsutaro, and Tatsuta, Yoshiyuki, E-mail: thigaki@rk.phys.keio.ac.jp, E-mail: y_tatsuta@akane.waseda.jp.
```*Inflation from periodic extra dimensions*. United States: N. p., 2017.
Web. doi:10.1088/1475-7516/2017/07/011.

```
Higaki, Tetsutaro, & Tatsuta, Yoshiyuki, E-mail: thigaki@rk.phys.keio.ac.jp, E-mail: y_tatsuta@akane.waseda.jp.
```*Inflation from periodic extra dimensions*. United States. doi:10.1088/1475-7516/2017/07/011.

```
Higaki, Tetsutaro, and Tatsuta, Yoshiyuki, E-mail: thigaki@rk.phys.keio.ac.jp, E-mail: y_tatsuta@akane.waseda.jp. Sat .
"Inflation from periodic extra dimensions". United States.
doi:10.1088/1475-7516/2017/07/011.
```

```
@article{osti_22676117,
```

title = {Inflation from periodic extra dimensions},

author = {Higaki, Tetsutaro and Tatsuta, Yoshiyuki, E-mail: thigaki@rk.phys.keio.ac.jp, E-mail: y_tatsuta@akane.waseda.jp},

abstractNote = {We discuss a realization of a small field inflation based on string inspired supergravities. In theories accompanying extra dimensions, compactification of them with small radii is required for realistic situations. Since the extra dimension can have a periodicity, there will appear (quasi-)periodic functions under transformations of moduli of the extra dimensions in low energy scales. Such a periodic property can lead to a UV completion of so-called multi-natural inflation model where inflaton potential consists of a sum of multiple sinusoidal functions with a decay constant smaller than the Planck scale. As an illustration, we construct a SUSY breaking model, and then show that such an inflaton potential can be generated by a sum of world sheet instantons in intersecting brane models on extra dimensions containing orbifold. We show also predictions of cosmic observables by numerical analyzes.},

doi = {10.1088/1475-7516/2017/07/011},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 07,

volume = 2017,

place = {United States},

year = {Sat Jul 01 00:00:00 EDT 2017},

month = {Sat Jul 01 00:00:00 EDT 2017}

}