Finite-size effect for dyonic giant magnons in CPβ3

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.