Abstract
We study classical solutions to the Nambu-Goto string on AdS2× S1 and AdS3× S1 corresponding to strings stretched between wrapped branes extending in AdS. The solutions are obtained by analytic continuation of giant magnon solutions, cut at the position of the branes. These solutions carry one or two SO(2, 4) charges and a single SO(6) charge. We compute their energies and show their relation to frac{1}{2} -BPS geometries. Their relevance to the SL(2) sector of mathcal{N} = 4 SYM is also discussed.
Highlights
The solutions are obtained by analytic continuation of giant magnon solutions, cut at the position of the branes
Our goal is to show how this analytic continuation works in detail for these solutions and to explain the origin of the analogous variables ξ, ξfor dual giant gravitons directly from the string sigma model
We show in this paper that the dispersion relation of these giant magnons is given by a continous limit of (1.3), where the central charge corresponds to length of the open string stretched along the AdS directions, and ξ, ξwill both be complex coordinates that are outside the disk of radius one
Summary
Let us recall the scaling limit of the giant magnons of Hoffman and Maldacena [5]. We are interested in the following scaling limit: J, ∆→∞ λ, p
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