$SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux

Abstract

We study rigidly rotating and pulsating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed three form flux. The $Ad{S}_3\times S^3$ 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 $Ad{S}_3$ with mixed three form flux.

21 pages, added reference, minor changes

References in corpus (6)

• Giant Magnons
• The complete worldsheet S matrix of superstrings on AdS_3 x S^3 x T^4 with mixed three-form flux
• The complete AdS_3 x S^3 x T^4 worldsheet S-matrix
• Single spike solutions for strings on S2 and S3
• Spinning strings and minimal surfaces in $Ad{S}_3$ with mixed 3-form fluxes
• Spinning strings in AdS_3 x S^3 with NS-NS flux