Three-parameter deformation of $\mathbb{R}\times S^3$ in the Landau-Lifshitz limit

Abstract

In this article we construct the effective field theory associated to the $\mathbb{R}\times S^3$ sector of the three-parameter deformation of $Ad{S}_3\times S^3\times T^4$ in the Landau-Lifshitz approximation. We use this action to compute the dispersion relation of excitations around the BMN vacuum and the perturbative $S$-matrix associated to them. We are able to compute and sum all the different loop contributions to the $S$-matrix in this limit.

19 pages, 1 figure. v2: References added. v3: References added, typos corrected. Published version

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Cited by in corpus (5)

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• On quantum deformations of $Ad{S}_3\times S^3\times T^4$ and mirror duality
• A study of integrable form factors in massless relativistic AdS_3
• An integrable deformed Landau-Lifshitz model with particle production?
• Pulsating string solution and stability in two parameter $\chi$-deformed background