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Dyonic Giant Magnons

Heng-Yu Chen, Nick Dorey, Keisuke Okamura

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.

Dyonic Giant Magnons

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.

Paper Structure

This paper contains 25 sections, 42 equations, 1 figure.

Table of Contents

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Figures (1)

  • Figure 1: A Giant Magnon solution. The endpoints of the string move on the equator $\theta=\pi/2$ at the speed of light. The magnon momentum is given by $p=\Delta\varphi$, where $\Delta\varphi$ is the angular distance between two endpoints of the string.