Finite-Size Corrections of the ${\mathbb{CP}}^3$ Giant Magnons: the Lüscher terms

Abstract

We compute classical and first quantum finite-size corrections to the recently found giant magnon solutions in two different subspaces of ${\mathbb{CP}}^3$. We use the Lüscher approach on the recently proposed exact S-matrix for $\mathcal{N}=6$ superconformal Chern-Simons theory. We compare our results with the string and algebraic curve computations and find agreement, thus providing a non-trivial test for the new $Ad{S}_4/CF{T}_3$ correspondence within an integrability framework.

20 pages, references added, improved and extended version

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Cited by in corpus (1)

• Quantum Strings and the AdS4/CFT3 Interpolating Function