A Perspective on Classical Strings from Complex Sine-Gordon Solitons
Abstract
We study a family of classical string solutions with large spins on R x S^3 subspace of AdS_5 x S^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.
Keywords
Cite
@article{arxiv.hep-th/0609026,
title = {A Perspective on Classical Strings from Complex Sine-Gordon Solitons},
author = {Keisuke Okamura and Ryo Suzuki},
journal= {arXiv preprint arXiv:hep-th/0609026},
year = {2009}
}
Comments
1+26 pages, 6 figures. v2: minor corrections. v3: minor corrections, references added, published version. v4: minor corrections