Dyonic giant magnons

By Heng-Yu Chen, N. Dorey, Keisuke Okamura. 2006

210 citations recorded by the source corpus.

We study the classical spectrum of string theory on AdS5 ? S5 in the Hofman-Maldacena limit. We find a family of classical solutions corresponding to Giant Magnons with two independent angular momenta on S5. 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 = 4 SUSY Yang-Mills. The exact dispersion relation for these states is obtained from a purely classical calculation in string theory.

Subfields: Nuclear and High Energy Physics, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/a4720fd0ad245abc9ab5ea69b7e86abe0e17e25c

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In Nuclear and High Energy Physics

In Statistical and Nonlinear Physics

Citations in the corpus

Towards integrability for AdS 3 / CFT 2 ?> (2014, background): “It can be extended to a solution in R × S(3), the dyonic giant magnon [100], which carries angular momentum M along the additional angle.”
On the rotating and oscillating strings in (AdS3 × S3)ϰ (2014, background): “In this connection a large number of rotating and pulsating string solutions have been studied in various string theory backgrounds, see for example, [27], [28], [29],[30], [31],[32],[33], [34], [35], [36],[37], [38], [39].”
Finite-size effects from giant magnons (2006, methodology): “The solution and the dispersion relations coincide with the ones found in [39] by using a rather non-trivial relation of the string sigma model on R × S(3) with the complex sine-Gordon equation.”
Spiky strings and giant magnons on S5 (2006, unknown): “18) which is the same energy relation as in [19] after we identify μ̂1 with the giant magnon momentum p as in [17].”
Dressing the Giant Magnon (2006, methodology): “This form of the solution agrees precisely with the two-charge giant magnon solution in [21], where it was shown to correspond to the single-soliton solution of the complex sineGordon theory.”
Pohlmeyer reduction of AdS5×S5 superstring sigma model (2007, background): “Xm (m= 1,2,3,4) µ2 cos2ϕ= ∂ +X m∂ −X m , µ3 cos2 ϕ∂ ±θ= ∓ 1 2 ǫmnklX m∂ +X n∂ −X k∂2 ±X l . (2.8) Again, the integrable structures and the soliton solutions of the two models are closely related (see [30, 31]). The CSG model can be interpreted as a special case of a non-abelian Toda theory [26] – a ”