(SL(2, Z)\) invariant rotating \((m,n)\) strings in \(AdS_3\times S^3\) with mixed flux

We study rigidly rotating and pulsating \((m,n)\) strings in \(AdS_3 \times S^3\) with mixed three form flux. The \(AdS_3 \times S^3\) 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 f...

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Bibliographic Details
Published in:arXiv.org 2016-10
Main Authors: Barik, Sorna Prava, Khouchen, Malak, Kluson, Josef, Panigrahi, Kamal L
Format: Article
Language:English
Subjects:
Branes
Equations of motion
Flux
Magnons
Rotation
Strings
Online Access:Get full text
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Summary:We study rigidly rotating and pulsating \((m,n)\) strings in \(AdS_3 \times S^3\) with mixed three form flux. The \(AdS_3 \times S^3\) 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 out the dyonic giant magnon and single spike solutions corresponding to the equations of motion of a probe string in this background and find out various relationships among the conserved charges. We further study a class of pulsating \((m,n)\) string in \(AdS_3\) with mixed three form flux.
ISSN:2331-8422