Dyonic Giant Magnons
Heng-Yu Chen, Nick Dorey, Keisuke Okamura

TL;DR
This paper analyzes classical string solutions called Dyonic Giant Magnons in AdS_5 x S^5, revealing their relation to complex sine-Gordon solitons and deriving their exact dispersion relations, advancing understanding of AdS/CFT correspondence.
Contribution
It introduces a family of Dyonic Giant Magnon solutions with two angular momenta and connects them to complex sine-Gordon solitons, providing a classical derivation of their dispersion relations.
Findings
Found classical Dyonic Giant Magnon solutions with two angular momenta.
Linked string solutions to charged solitons of the Complex sine-Gordon equation.
Derived exact dispersion relations for these states from classical string theory.
Abstract
We study the classical spectrum of string theory on AdS_5 X S^5 in the Hofman-Maldacena limit. We find a family of classical solutions corresponding to Giant Magnons with two independent angular momenta on S^5. These solutions are related via Pohlmeyer's reduction procedure to the charged solitons of the Complex sine-Gordon equation. The corresponding string states are dual to BPS boundstates of many magnons in the spin-chain description of planar N=4 SUSY Yang-Mills. The exact dispersion relation for these states is obtained from a purely classical calculation in string theory.
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