Abstract
In this paper we have found a classical giant magnon-like solution with both infinite and finite angular momentum moving in Sch_5 x S^5 with B-field, which is believed to be dual to dipole-deformed N=4 super Yang-Mills theory. This string state propagates as a point particle in non-trivial subspace of the Sch_5 space but shows a giant magnon-like property in the S^2 subspace. We derive the energy-momentum dispersion relations and their finite-size correction for the case of finite but large angular momentum.
Highlights
Integrability is a key feature in the anti–de Sitter (AdS)=CFT duality
We look for a giant magnonlike solution in Sch5 × S5 along with the energy-charge relation, which reduces to the original one when the deformation is turned off
We have found a classical giant magnonlike solution moving in the Sch5 × S5 target space
Summary
Integrability is a key feature in the AdS=CFT duality. It plays an important role in finding exact solutions of both string theories in the anti–de Sitter (AdS) space and gauge theories on their boundaries. Some of these maintain the integrability, and potential to find exact solutions In these cases, various classical string solutions and their energy spectrum allow for quantitative understanding of the duality in the strong coupling regime. The energy and other conserved charges give strong support for the conjectured all-loop spin chain This solution exists in several deformed AdS=CFT dualities and provides quantitative understandings in the strong coupling limit [15]. We have computed the finite-size correction to the energy spectrum derived from the exact classical string solution with a finite angular momentum. We hope these results can be useful to clarify the AdS=CFT duality of the dipole-deformed theory.
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