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A Perspective on Classical Strings from Complex Sine-Gordon Solitons

Keisuke Okamura·Ryo Suzuki
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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.

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Keisuke Okamura, Ryo Suzuki. 2007-10-02. A Perspective on Classical Strings from Complex Sine-Gordon Solitons. https://doi.org/10.1103/physrevd.75.046001

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