Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc. submitted time 2017-11-10
Abstract:We studied the finite-size giant magnons in AdS4 ×CPβ 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, in which the authors computed the finite-size corrections of giant magnons in AdS4 × CP by introducing a finite-size resolvent Gfinite(x). We obtained exactly the same result as in [2], where a totally different approach was used.
Peer Review Status:Awaiting Review
Subjects: Physics >> General Physics: Statistical and Quantum Mechanics, Quantum Information, etc. submitted time 2017-11-10
Abstract:We investigate the integrable aspects of the planar -deformed ABJM theory and propose the twisted asymptotic Bethe ansatz equations. A more general method through a twisted generating functional is discussed, based on which, the asymptotic large L solution of Y-system is modi ed in order to match the asymptotic Bethe ansatz equations. Several applications of our method in the sl(2)-like sector and some important examples in -deformed ABJM are presented as well.
Peer Review Status:Awaiting Review