# Perspective on classical strings from complex sine-Gordon solitons

## Abstract

We study a family of classical string solutions with large spins on R{sub t}xS{sup 3} subspace of AdS{sub 5}xS{sup 5} background, which are related to Complex sine-Gordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings are cast into Lame equations and Complex sine-Gordon equations. We solve them under periodic boundary conditions, and obtain analytic profiles for the closed strings. They interpolate two kinds of known rigid configurations with two spins: on one hand, they reduce to folded or circular spinning/rotating strings in the limit where a soliton velocity goes to zero, while on the other hand, the dyonic giant magnons are reproduced in the limit where the period of a kink-array goes to infinity.

- Authors:

- Department of Physics, Faculty of Science, University of Tokyo, Bunkyo-ku, Tokyo 113-0033 (Japan)

- Publication Date:

- OSTI Identifier:
- 21011116

- Resource Type:
- Journal Article

- Resource Relation:
- Journal Name: Physical Review. D, Particles Fields; Journal Volume: 75; Journal Issue: 4; Other Information: DOI: 10.1103/PhysRevD.75.046001; (c) 2007 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; BOUNDARY CONDITIONS; DYONS; EQUATIONS OF MOTION; MAGNONS; MATHEMATICAL SOLUTIONS; PERIODICITY; QUANTUM FIELD THEORY; SINE-GORDON EQUATION; SOLITONS; SPIN; STRING MODELS

### Citation Formats

```
Okamura, Keisuke, and Suzuki, Ryo.
```*Perspective on classical strings from complex sine-Gordon solitons*. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.046001.

```
Okamura, Keisuke, & Suzuki, Ryo.
```*Perspective on classical strings from complex sine-Gordon solitons*. United States. doi:10.1103/PHYSREVD.75.046001.

```
Okamura, Keisuke, and Suzuki, Ryo. Thu .
"Perspective on classical strings from complex sine-Gordon solitons". United States.
doi:10.1103/PHYSREVD.75.046001.
```

```
@article{osti_21011116,
```

title = {Perspective on classical strings from complex sine-Gordon solitons},

author = {Okamura, Keisuke and Suzuki, Ryo},

abstractNote = {We study a family of classical string solutions with large spins on R{sub t}xS{sup 3} subspace of AdS{sub 5}xS{sup 5} background, which are related to Complex sine-Gordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings are cast into Lame equations and Complex sine-Gordon equations. We solve them under periodic boundary conditions, and obtain analytic profiles for the closed strings. They interpolate two kinds of known rigid configurations with two spins: on one hand, they reduce to folded or circular spinning/rotating strings in the limit where a soliton velocity goes to zero, while on the other hand, the dyonic giant magnons are reproduced in the limit where the period of a kink-array goes to infinity.},

doi = {10.1103/PHYSREVD.75.046001},

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

number = 4,

volume = 75,

place = {United States},

year = {Thu Feb 15 00:00:00 EST 2007},

month = {Thu Feb 15 00:00:00 EST 2007}

}