Giant magnon in NS5-brane background

Abstract

We study the giant magnon solutions in the near horizon geometry of the Neveu-Schwarz (NS) 5-brane background. In conformal gauge, we find magnon dispersion relation in the large angular momentum (J) limit. We further show that the giant magnon poses uniform distribution of the angular momentum along the string world-sheet as in case of AdS 5 × S 5 spacetime.

Giant magnon and spike solutions with two spins inAdS4×CP3

“…There were investigations of the giant magnon string solutions in various backgrounds [35,36]. The giant magnon-like expression in (3.15) takes a similar form to the dispersion relation in ref.…”

“…The giant magnon-like expression in (3.15) takes a similar form to the dispersion relation in ref. [35], where the giant magnon solution in the near horizon geometry of the NS 5-brane background was constructed to be expressed in terms of several charges.…”

Spiky strings onAdS3×S3with NS-NS flux

“…With these ideas, various large classes of rigidly rotating and pulsating string solutions have been studied in anti-de Sitter (AdS) and non-AdS backgrounds. These studies have also been successful in providing a realization of the string states which would correspond to some exact operators in the gauge theory side (see, for example [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30]). In HM construction, the spectrum on the field theory side consists of an elementary excitation, the so-called magnon which carries a momentum p along the finitely or infinitely long spin chain [31,32].…”

Semiclassical strings on curved branes

“…The study of rigidly rotating strings in semiclassical approximation in the gravity side has been one of the interesting areas of research in the last few years. In this connection a large number of rotating and pulsating string solutions have been studied in AdS 5 × S 5 , AdS 4 × CP 3 , orbifolded and in the near horizon geometry of certain nonlocal string theory backgrounds, see for example, [18], [19], [20], [21], [22], [23], [24], [25], [26], [27], [28], [29], [30], [31], [32], [33], [34], [35], [36], [37], [38], [39], [40], [41], [42], [43], [44], [45], [46], [47], [48], [49]. However, more recently, the integrability of the classical string motion in curved pbrane background has been explored in [50] in an attempt to see whether the full string equations of motion is integrable.…”