# Dynamics of cosmic strings with higher-dimensional windings

## Abstract

We consider F-strings with arbitrary configurations in the Minkowski directions of a higher-dimensional spacetime, which also wrap and spin around S{sup 1} subcycles of constant radius in an arbitrary internal manifold, and determine the relation between the higher-dimensional and the effective four-dimensional quantities that govern the string dynamics. We show that, for any such configuration, the motion of the windings in the compact space may render the string effectively tensionless from a four-dimensional perspective, so that it remains static with respect to the large dimensions. Such a critical configuration occurs when (locally) exactly half the square of the string length lies in the large dimensions and half lies in the compact space. The critical solution is then seen to arise as a special case, in which the wavelength of the windings is equal to their circumference. As examples, long straight strings and circular loops are considered in detail, and the solutions to the equations of motion that satisfy the tensionless condition are presented. These solutions are then generalized to planar loops and arbitrary three-dimensional configurations. Under the process of dimensional reduction, in which higher-dimensional motion is equivalent to an effective worldsheet current (giving rise to a conserved charge), this phenomenonmore »

- Authors:

- Research Center for the Early Universe, School of Science, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033 (Japan)
- The Institute for Fundamental Study, “The Tah Poe Academia Institute', Naresuan University, Phitsanulok 65000 (Thailand)
- (Thailand)

- Publication Date:

- Sponsoring Org.:
- SCOAP3, CERN, Geneva (Switzerland)

- OSTI Identifier:
- 22454558

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Journal of Cosmology and Astroparticle Physics; Journal Volume: 2015; Journal Issue: 06; Other Information: PUBLISHER-ID: JCAP06(2015)023; OAI: oai:repo.scoap3.org:10789; Article funded by SCOAP3. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 License. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.; Country of input: International Atomic Energy Agency (IAEA)

- Country of Publication:
- United States

- Language:
- English

- Subject:
- 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; CHIRALITY; EQUATIONS OF MOTION; FOUR-DIMENSIONAL CALCULATIONS; MATHEMATICAL SOLUTIONS; MINKOWSKI SPACE; SPACE-TIME; SPIN; STRING MODELS; STRING THEORY; WAVELENGTHS

### Citation Formats

```
Yamauchi, Daisuke, Lake, Matthew J., and Thailand Center of Excellence in Physics, Ministry of Education,Bangkok 10400.
```*Dynamics of cosmic strings with higher-dimensional windings*. United States: N. p., 2015.
Web. doi:10.1088/1475-7516/2015/06/023.

```
Yamauchi, Daisuke, Lake, Matthew J., & Thailand Center of Excellence in Physics, Ministry of Education,Bangkok 10400.
```*Dynamics of cosmic strings with higher-dimensional windings*. United States. doi:10.1088/1475-7516/2015/06/023.

```
Yamauchi, Daisuke, Lake, Matthew J., and Thailand Center of Excellence in Physics, Ministry of Education,Bangkok 10400. Thu .
"Dynamics of cosmic strings with higher-dimensional windings". United States.
doi:10.1088/1475-7516/2015/06/023.
```

```
@article{osti_22454558,
```

title = {Dynamics of cosmic strings with higher-dimensional windings},

author = {Yamauchi, Daisuke and Lake, Matthew J. and Thailand Center of Excellence in Physics, Ministry of Education,Bangkok 10400},

abstractNote = {We consider F-strings with arbitrary configurations in the Minkowski directions of a higher-dimensional spacetime, which also wrap and spin around S{sup 1} subcycles of constant radius in an arbitrary internal manifold, and determine the relation between the higher-dimensional and the effective four-dimensional quantities that govern the string dynamics. We show that, for any such configuration, the motion of the windings in the compact space may render the string effectively tensionless from a four-dimensional perspective, so that it remains static with respect to the large dimensions. Such a critical configuration occurs when (locally) exactly half the square of the string length lies in the large dimensions and half lies in the compact space. The critical solution is then seen to arise as a special case, in which the wavelength of the windings is equal to their circumference. As examples, long straight strings and circular loops are considered in detail, and the solutions to the equations of motion that satisfy the tensionless condition are presented. These solutions are then generalized to planar loops and arbitrary three-dimensional configurations. Under the process of dimensional reduction, in which higher-dimensional motion is equivalent to an effective worldsheet current (giving rise to a conserved charge), this phenomenon may be seen as the analogue of the tensionless condition which arises for superconducting and chiral-current carrying cosmic strings.},

doi = {10.1088/1475-7516/2015/06/023},

journal = {Journal of Cosmology and Astroparticle Physics},

number = 06,

volume = 2015,

place = {United States},

year = {Thu Jun 11 00:00:00 EDT 2015},

month = {Thu Jun 11 00:00:00 EDT 2015}

}