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Anisotropic Landau-Lifshitz sigma models from q-deformed AdS_5 x S^5 superstrings

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arxiv 1405.4467 v2 pith:SSEOWKHC submitted 2014-05-18 hep-th math-phmath.MPnlin.SI

classification hep-thmath-phmath.MPnlin.SI
keywords llsmanisotropicclassicaldeformedlandau-lifshitzmodelsnon-localq-deformed
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We consider bosonic subsectors of the q-deformed AdS_5 x S^5 superstring action and study the classical integrable structure of anisotropic Landau-Lifshitz sigma models (LLSMs) derived by taking fast-moving limits. The subsectors are 1) deformed AdS_3 x S^1 and 2) R x deformed S^3. The cases 1) and 2) lead to a time-like warped SL(2) LLSM and a squashed S^3 LLSM, respectively. For each of them, we construct an infinite number of non-local conserved charges and show a quantum affine algebra at the classical level. Furthermore, a pp-wave like limit is applied for the case 1). The resulting system is a null-like warped SL(2) LLSM and exhibits a couple of Yangians through non-local gauge transformations associated with Jordanian twists.

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  1. An integrable deformed Landau-Lifshitz model with particle production?

    hep-th 2025-06 conditional novelty 6.0 of 10

    The Class 5 spin chain's continuum limit is a non-unitary deformed Landau-Lifshitz model with a conserved-charge tower and a soft 1-to-2 S-matrix.

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