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Title: 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:
;  [1]
  1. 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}
}