Perspective on classical strings from complex sine-Gordon solitons

2006/09/30 by Keisuke Okamura, Ryo Suzuki, Ryō Suzuki · 5 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Nonlinear Waves and Solitons #hep-th

paper · pdf · doi:10.1103/physrevd.75.046001

published as Phys.Rev.D75:046001,2007 · 1+26 pages, 6 figures. v2: minor corrections. v3: minor corrections, references added, published version. v4: minor corrections

openalex publication_date 2007/02/08 · arxiv created 2007/10/02 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We study a family of classical string solutions with large spins on ℝ_t\ifmmode×\else\texttimes\fiS³ subspace of AdS₅\ifmmode×\else\texttimes\fiS⁵ background, which are related to Complex sine-Gordon solitons via Pohlmeyer's reduction. The equations of motion for the classical strings are cast into Lam'e 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.

Citations

• The Large N Limit of Superconformal Field Theories and Supergravity
• Semiclassical strings and AdS/CFT

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