Abstract
Starting from the recently-discovered \( \mathrm{T}\overline{\mathrm{T}} \)-perturbed Lagrangians, we prove that the deformed solutions to the classical EoMs for bosonic field theories are equivalent to the unperturbed ones but for a specific field-dependent local change of coordinates. This surprising geometric outcome is fully consistent with the identification of \( \mathrm{T}\overline{\mathrm{T}} \)-deformed 2D quantum field theories as topological JT gravity coupled to generic matter fields. Although our conclusion is valid for generic interacting potentials, it first emerged from a detailed study of the sine-Gordon model and in particular from the fact that solitonic pseudo-spherical surfaces embedded in ℝ3 are left invariant by the deformation. Analytic and numerical results concerning the perturbation of specific sine-Gordon soliton solutions are presented.
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Conti, R., Negro, S. & Tateo, R. The \( \mathrm{T}\overline{\mathrm{T}} \) perturbation and its geometric interpretation. J. High Energ. Phys. 2019, 85 (2019). https://doi.org/10.1007/JHEP02(2019)085
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DOI: https://doi.org/10.1007/JHEP02(2019)085