Mixed state entanglement in deformed field theory at finite temperature

We study mixed state entanglement measures in a higher dimensional <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:mi>T</a:mi><a:mover accent="true"><a:mrow><a:mi>T</a:mi></a:mrow><a:mrow><a:mo stretchy="false">¯</a:mo></a:mrow></a:mover></a:mrow></a:math> deformed field theory at finite temperature. The holographic dual is described by <e:math xmlns:e="http://www.w3.org/1998/Math/MathML" display="inline"><e:mrow><e:msub><e:mrow><e:mi>AdS</e:mi></e:mrow><e:mrow><e:mi>d</e:mi><e:mo>+</e:mo><e:mn>1</e:mn></e:mrow></e:msub></e:mrow></e:math> black brane geometry with a finite cutoff. We compute the entanglement wedge cross section (EWCS), proposed to be dual to entanglement of purification and holographic entanglement negativity (HEN) for striplike subsystems. The behavior of EWCS and HEN is studied across different regimes of temperature and deformation parameter. It is observed that the deformation and temperature exhibit similar effects on these two entanglement measures. Increasing the deformation leads to a decrease in the entanglement between the subsystems.