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Spin chains and classical strings in two parameters $q$-deformed AdS$_3\times$S$^3$

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arxiv 1911.01567 v1 pith:FNKUZ6UW submitted 2019-11-05 hep-th

Wen-Yu Wen , Shoichi Kawamoto This is my paper · ORCID
classification hep-th
keywords deformedspinparameterschainlimitstringtimesanalyzed
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abstract

In this paper, we study the spin chain and string excitation in the two-parameters $q$-deformed AdS$_3\times$S$^3$ proposed by Hoare. We obtain the deformed spin chain model at the fast spin limit for choices of deformed parameters. General ansatz for giant magnons are studied in great detail and complicated dispersion relation is treated perturbatively. We also study several types of hanging string solutions and their charges and spins are analyzed numerically. At last, we explore its pp-wave limit and find its solution only depends on the difference of deformed parameters.

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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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