Perspective on classical strings from complex sineGordon 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 sineGordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings are cast into Lame equations and Complex sineGordon 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 kinkarray goes to infinity.
 Authors:
 Department of Physics, Faculty of Science, University of Tokyo, Bunkyoku, Tokyo 1130033 (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; SINEGORDON EQUATION; SOLITONS; SPIN; STRING MODELS
Citation Formats
Okamura, Keisuke, and Suzuki, Ryo. Perspective on classical strings from complex sineGordon solitons. United States: N. p., 2007.
Web. doi:10.1103/PHYSREVD.75.046001.
Okamura, Keisuke, & Suzuki, Ryo. Perspective on classical strings from complex sineGordon solitons. United States. doi:10.1103/PHYSREVD.75.046001.
Okamura, Keisuke, and Suzuki, Ryo. Thu .
"Perspective on classical strings from complex sineGordon solitons". United States.
doi:10.1103/PHYSREVD.75.046001.
@article{osti_21011116,
title = {Perspective on classical strings from complex sineGordon 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 sineGordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings are cast into Lame equations and Complex sineGordon 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 kinkarray 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}
}

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