# Skyrmions from Instantons inside Domain Walls

## Abstract

Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory. The non-Abelian gauge symmetry is broken in each vacuum but restored in the core of the domain wall, allowing instantons to nestle inside the wall. We show that the world volume dynamics of the wall is given by the Skyrme model, including the four-derivative term, and the instantons appear as domain wall Skyrmions.

- Authors:

- Department of Physics, Tokyo Institute of Technology, Tokyo, 152-8551 (Japan)
- Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Cambridge CB3 0WA (United Kingdom)

- Publication Date:

- OSTI Identifier:
- 20699697

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review Letters; Journal Volume: 95; Journal Issue: 25; Other Information: DOI: 10.1103/PhysRevLett.95.252003; (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; GAUGE INVARIANCE; INSTANTONS; MATHEMATICAL SOLUTIONS; SKYRME POTENTIAL; SOLITONS; STRING MODELS; YANG-MILLS THEORY

### Citation Formats

```
Eto, Minoru, Nitta, Muneto, Ohashi, Keisuke, and Tong, David.
```*Skyrmions from Instantons inside Domain Walls*. United States: N. p., 2005.
Web. doi:10.1103/PhysRevLett.95.252003.

```
Eto, Minoru, Nitta, Muneto, Ohashi, Keisuke, & Tong, David.
```*Skyrmions from Instantons inside Domain Walls*. United States. doi:10.1103/PhysRevLett.95.252003.

```
Eto, Minoru, Nitta, Muneto, Ohashi, Keisuke, and Tong, David. Fri .
"Skyrmions from Instantons inside Domain Walls". United States.
doi:10.1103/PhysRevLett.95.252003.
```

```
@article{osti_20699697,
```

title = {Skyrmions from Instantons inside Domain Walls},

author = {Eto, Minoru and Nitta, Muneto and Ohashi, Keisuke and Tong, David},

abstractNote = {Some years ago, Atiyah and Manton described a method to construct approximate Skyrmion solutions from Yang-Mills instantons. Here we present a dynamical realization of this construction using domain walls in a five-dimensional gauge theory. The non-Abelian gauge symmetry is broken in each vacuum but restored in the core of the domain wall, allowing instantons to nestle inside the wall. We show that the world volume dynamics of the wall is given by the Skyrme model, including the four-derivative term, and the instantons appear as domain wall Skyrmions.},

doi = {10.1103/PhysRevLett.95.252003},

journal = {Physical Review Letters},

number = 25,

volume = 95,

place = {United States},

year = {Fri Dec 16 00:00:00 EST 2005},

month = {Fri Dec 16 00:00:00 EST 2005}

}

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