Giant Magnons under NS-NS and Melvin Fields

Abstract

The giant magnon is a rotating spiky string configuration which has the same dispersion relation between the energy and angular momentum as that of a spin magnon. In this paper we investigate the effects of the NS-NS and Melvin fields on the giant magnon. We first analyze the energy and angular momenta of the two-spin spiky D-string moving on the $Ad{S}_3\times S^1$ with the NS-NS field. Due to the infinite boundary of the AdS spacetime the D-string solution will extend to infinity and it appears the divergences. After adding the counter terms we obtain the dispersion relation of the corresponding giant magnon. The result shows that there will appear a prefactor before the angular momentum, in addition to some corrections in the sine function. We also see that the spiky profile of a rotating D-string plays an important role in mapping it to a spin magnon. We next investigate the energy and angular momentum of the one-spin spiky fundamental string moving on the $R\times S^2$ with the electric or magnetic Melvin field. The dispersion relation of the corresponding deformed giant magnon is also obtained. We discuss some properties of the correction terms and their relations to the spin chain with deformations.

Latex 20 pages, mention D-string and add references

References in corpus (11)

• Giant Magnons
• Magnon Bound States and the AdS/CFT Correspondence
• Dyonic Giant Magnons
• Infinite spin limit of semiclassical string states
• Spiky strings and giant magnons on S5
• Dressing the Giant Magnon
• Multispin Giant Magnons
• Magnons, Classical Strings and beta-Deformations
• Electric/Magnetic Field Deformed Giant Gravitons in Melvin Geometry
• Spin Chain with Magnetic Field and Spinning String in Magnetic Field Background
• Spinning String and Giant Graviton in Electric/Magnetic Field Deformed $Ad{S}_3\times S^3\times T^4$

Cited by in corpus (5)

• Single spike solutions for strings on S2 and S3
• Neumann and Neumann-Rosochatius integrable systems from membranes on AdS_4xS^7
• On the multi-spin magnon and spike solutions from membranes
• D1-brane in beta-Deformed Background
• Spin chain from membrane and the Neumann-Rosochatius integrable system