A note on oscillating strings in $Ad{S}_3\times S^3$ with mixed three-form fluxes

Abstract

We present a detailed study of the pulsating string solutions in AdS3 x S3 supported by both RR and NS-NS fluxes. This background has recently been proved to be integrable. We find the dispersion relation between the energy, oscillation number and other conserved charges when the NS-NS flux turned on is small. We further discuss the fate of the string solutions in pure RR and NS-NS cases.

26 pages, version to appear in JHEP

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Cited by in corpus (15)

• Integrable spin chain for stringy Wess-Zumino-Witten models
• Pulsating strings with mixed three-form flux
• On circular strings in $(Ad{S}_3\times S^3{)}_{\varkappa }$
• One-loop quantization of rigid spinning strings in $Ad{S}_3\times S^3\times T^4$ with mixed flux
• D1 string dynamics in curved backgrounds with fluxes
• Minimal surfaces with mixed three-form flux
• On N-spike strings in conformal gauge with NS-NS fluxes
• On multi-spin classical strings with NS-NS flux
• Pulsating strings in $Sch{r}_5\times T^{1,1}$ background
• N spike D-strings in AdS Space with mixed flux
• Pulsating strings in I-brane background
• $SL(2,Z)$ invariant rotating $(m,n)$ strings in $Ad{S}_3\times S^3$ with mixed flux
• Tunnelling of Pulsating Strings in Deformed Minkowski Spacetime
• Pulsating string solution and stability in two parameter $\chi$-deformed background
• String solutions in $Ad{S}_3\times S^3\times S^3\times S^1$ with $B$-field