# Stringy wave function for an S{sup 3} cosmology

## Abstract

Using the recent observations of the relation between the Hartle-Hawking wave function and the topological string partition function, we propose a wave function for scalar metric fluctuations on S{sup 3} embedded in a Calabi-Yau manifold. This problem maps to a study of noncritical bosonic string propagating on a circle at the self-dual radius. This can be viewed as a stringy toy model for a quantum cosmology.

- Authors:

- Jefferson Physical Laboratory, Harvard University, Cambridge, Massachusetts 02138 (United States)

- Publication Date:

- OSTI Identifier:
- 20782708

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 73; Journal Issue: 6; Other Information: DOI: 10.1103/PhysRevD.73.066009; (c) 2006 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; FLUCTUATIONS; METRICS; PARTITION FUNCTIONS; QUANTUM GRAVITY; SCALARS; SMOOTH MANIFOLDS; STRING MODELS; TOPOLOGY; WAVE FUNCTIONS

### Citation Formats

```
Gukov, Sergei, Saraikin, Kirill, and Vafa, Cumrun.
```*Stringy wave function for an S{sup 3} cosmology*. United States: N. p., 2006.
Web. doi:10.1103/PHYSREVD.73.066009.

```
Gukov, Sergei, Saraikin, Kirill, & Vafa, Cumrun.
```*Stringy wave function for an S{sup 3} cosmology*. United States. doi:10.1103/PHYSREVD.73.066009.

```
Gukov, Sergei, Saraikin, Kirill, and Vafa, Cumrun. Wed .
"Stringy wave function for an S{sup 3} cosmology". United States.
doi:10.1103/PHYSREVD.73.066009.
```

```
@article{osti_20782708,
```

title = {Stringy wave function for an S{sup 3} cosmology},

author = {Gukov, Sergei and Saraikin, Kirill and Vafa, Cumrun},

abstractNote = {Using the recent observations of the relation between the Hartle-Hawking wave function and the topological string partition function, we propose a wave function for scalar metric fluctuations on S{sup 3} embedded in a Calabi-Yau manifold. This problem maps to a study of noncritical bosonic string propagating on a circle at the self-dual radius. This can be viewed as a stringy toy model for a quantum cosmology.},

doi = {10.1103/PHYSREVD.73.066009},

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

number = 6,

volume = 73,

place = {United States},

year = {Wed Mar 15 00:00:00 EST 2006},

month = {Wed Mar 15 00:00:00 EST 2006}

}

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