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

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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20 pages, references added, improved and extended version

Scientific paper

10.1088/1126-6708/2009/07/034

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 L\"{u}scher 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 $AdS_4/CFT_3$ correspondence within an integrability framework.

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