SL(2, Z) invariant rotating (m, n) strings in A d S 3 × S 3 with mixed flux

• Published in: The European physical journal. C, Particles and fields Vol. 77; no. 5; pp. 1 - 10
• Main Authors: M Sorna Prava Barik, Khouchen, Malak, Klusoň, Josef, Panigrahi, Kamal L
• Format: Journal Article
• Language: English
• Published: Heidelberg Springer Nature B.V 01.05.2017
• Subjects: Branes; Equations of motion; Flux; Strings
• ISSN: 1434-6044; 1434-6052
• DOI: 10.1140/epjc/s10052-017-4842-5

We study rigidly rotating and pulsating (m, n) strings in AdS3×S3 with mixed three form flux. The AdS3×S3 background with mixed three form flux is obtained in the near horizon limit of SL(2, Z)-transformed solution, corresponding to the bound state of NS5-branes and fundamental strings. We study the probe (m, n)-string in this background by solving the manifest SL(2, Z)-covariant form of the action. We find the dyonic giant magnon and single spike solutions corresponding to the equations of motion of a probe string in this background and find various relationships among the conserved charges. We further study a class of pulsating (m, n) string in AdS3 with mixed three form flux.