Phys. Lett. B 769 90-99 (2017)                    arXiv link

Finite size effect for dyonic giant magnons in CP³_β

Hui-Huang Chen^1,2, Jun-Bao Wu^3.4,5

1 Institute of High Energy Physics, and Theoretical Physics Center for Science Facilities, Chinese Academy of Sciences, 19B Yuquan Road, Beijing 100049, P. R. China.

2 University of Chinese Academy of Sciences, 19A Yuquan Road, Beijing 100049, P. R. China.

3 School of Science, Tianjin University, 92 Weijin Road, Tianjin 300072, P. R. China

4 School of Physics, Beihang University, 37 Xueyuan Road, Beijing 100191, P. R. China

5 Center for High Energy Physics, Peking University, 5 Yiheyuan Road, Beijing 100871, P. R. China

Abstract

We studied the finite-size giant magnons in AdS4×CPβ3 background using the classical spectral curve constructed in this paper. We computed the finite-size corrections to the dispersion relations for the RP3 giant magnons using our twisted algebraic curve based on the method proposed in [1] , in which the authors computed the finite-size corrections of giant magnons in AdS4×CP3 by introducing a finite-size resolvent Gfinite(x) . We obtained exactly the same result as in [2] , where a totally different approach was used.