Finite-size Effect for Dyonic Giant Magnons in $C{P}_{\beta }^3$

Abstract

We studied the finite-size giant magnons in ${\text{AdS}}_4\times {\text{CP}}_{\beta }^3$ background using the classical spectral curve constructed in this paper. We computed the finite-size corrections to the dispersion relations for the $R{P}^3$ 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.

a few typos fixed

References in corpus (10)

• Infinite spin limit of semiclassical string states
• Gauge invariant finite size spectrum of the giant magnon
• Quantum Wrapped Giant Magnon
• N=4 Chern-Simons theories and wrapped M-branes in their gravity duals
• Quantum Strings and the AdS4/CFT3 Interpolating Function
• Giant magnons in AdS_4/CFT_3: dispersion, quantization and finite--size corrections
• Finite size giant magnons in the SU(2) x SU(2) sector of AdS_4 x CP^3
• Finite size giant magnons and interactions
• Y-system for $\gamma$-deformed ABJM Theory
• Integrability of Orbifold ABJM Theories

Cited by in corpus (1)

• Open Spin Chains from Determinant Like Operators in ABJM Theory