Abstract
The light-cone gauge approach to \( T\overline{T} \) deformed models is used to derive the \( T\overline{T} \) deformed matrix nonlinear Schrödinger equation, the Landau-Lifshitz equation, and the Gardner equation. Properties of one-soliton solutions of the \( T\overline{T} \) deformed nonlinear Schrödinger and Korteweg-de Vries equations are discussed in detail. The NLS soliton exhibits the recently discussed phenomenon of widening/narrowing width of particles under the \( T\overline{T} \) deformation. However, whether the soliton’s size is increasing or decreasing depends not only on the sign of the deformation parameter but also on soliton and potential parameters. The \( T\overline{T} \) deformed KdV equation admits a one-parameter family of one-soliton solutions in addition to the usual velocity parameter. The extra parameter modifies the properties of the soliton, in particular, it appears in the dispersion relation.
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ArXiv ePrint: 2102.12435
Correspondent fellow at Steklov Mathematical Institute, Moscow. (Sergey Frolov)
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Esper, C., Frolov, S. \( T\overline{T} \) deformations of non-relativistic models. J. High Energ. Phys. 2021, 101 (2021). https://doi.org/10.1007/JHEP06(2021)101
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DOI: https://doi.org/10.1007/JHEP06(2021)101