Giant magnons under NS-NS and Melvin fields

Wung Hong Huang

Research output: Contribution to journalReview articlepeer-review

12 Citations (Scopus)

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 AdS3 × S1 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 × S2 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.

Original languageEnglish
Article number040
JournalJournal of High Energy Physics
Volume2006
Issue number12
DOIs
Publication statusPublished - 2006 Dec 1

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics

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