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arXiv · 1612.04613

Finite-size Effect for Dyonic Giant Magnons in $CP^3_β$

Hui-Huang Chen·Jun-Bao Wu
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Abstract

We studied the finite-size giant magnons in $\text{AdS}_4\times\text{CP}^3_β$ background using the classical spectral curve constructed in this paper. We computed the finite-size corrections to the dispersion relations for the $RP^3$ giant magnons using our twisted algebraic curve based on the method proposed in arXiv:0810.1246, in which the authors computed the finite-size corrections of giant magnons in $\text{AdS}_4\times\text{CP}^3$ by introducing a finite-size resolvent $G_{\text{finite}}(x)$. We obtained exactly the same result as in arXiv:1106.3686, where a totally different approach was used.

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Hui-Huang Chen, Jun-Bao Wu. 2017-08-20. Finite-size Effect for Dyonic Giant Magnons in $CP^3_β$. https://doi.org/10.1016/j.physletb.2017.03.042

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