Finite-size giant magnons on AdS4×CPγ3

Abstract

We investigate finite-size giant magnons propagating on γ-deformed AdS 4 ×CP 3 γ type IIA string theory background, dual to one parameter deformation of the N = 6 super ChernSimoms-matter theory. Analyzing the finite-size effect on the dispersion relation, we find that it is modified compared to the undeformed case, acquiring γ dependence.

Finite-size effect for dyonic giant magnons inCPβ3

“…To check our proposal, we compute the finite-size corrections of the dyonic giant magnons in AdS 4 × CP 3 β using our twisted algebraic curve. Our result is the same as the one in [2]. We hope this can be further verified by construct the twisted S-matrix and appropriate twisted boundary as in [34] for AdS 5 /CFT 4 , and using the generalized Lüscher formula [36] to compute the corrections of the dispersion relation.…”

“…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 [1], in which the authors computed the finite-size corrections of giant magnons in AdS 4 × CP 3 by introducing a finite-size resolvent G finite (x). We obtained exactly the same result as in [2], where a totally different approach was used.…”

“…In this paper, we will try to calculate the finite-size effect for giant magnons in AdS 4 × CP 3 β using classical spectral curve. In order to compare our results with [2], we had better to use different charges from our previous choice in [15]. These charges are listed in Table 1.…”

“…The dispersion relation for RP 3 giant magnons in AdS 4 × CP 3 β has been calculated in [18], and the finite-size corrections were obtained in [2] by searching for the needed classical string solution directly. In this paper, we use the classical spectral curve method to calculate these quantities and to compare our results to the ones of [2]. Finally, we find they match perfectly.…”