A Perspective on Classical Strings from Complex Sine-Gordon Solitons

Details A Perspective on Classical Strings from Complex Sine-Gordon Solitons A Perspective on Classical Strings from Complex Sine-Gordon Solitons

2006-09-04

arxiv.org/abs/hep-th/0609026v4

Phys.Rev.D75:046001,2007

Physics

High Energy Physics

High Energy Physics - Theory

1+26 pages, 6 figures. v2: minor corrections. v3: minor corrections, references added, published version. v4: minor correction

Scientific paper

10.1103/PhysRevD.75.046001

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.

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