For a TTbar-deformed CFT at finite temperature, the EWCS and holographic entanglement negativity both decrease as the deformation parameter grows, just as they do when temperature increases.
$T\overline T$ deformations of non-Lorentz invariant field theories
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We point out that the arguments of Zamolodchikov and others on the $T\overline T$ and similar deformations of two-dimensional field theories may be extended to the more general non-Lorentz invariant case, for example non-relativistic and Lifshitz-type theories. We derive results for the finite-size spectrum and $S$-matrix of the deformed theories.
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Mixed state entanglement in deformed field theory at finite temperature
For a TTbar-deformed CFT at finite temperature, the EWCS and holographic entanglement negativity both decrease as the deformation parameter grows, just as they do when temperature increases.