Entanglement entropy of mixed state in thermal CFT2

Using the subtraction approach, we give the bipartite mixed state entanglement entropy in thermal conformal field <a:math xmlns:a="http://www.w3.org/1998/Math/MathML" display="inline"><a:mrow><a:msub><a:mrow><a:mtext>theory</a:mtext></a:mrow><a:mrow><a:mn>2</a:mn></a:mrow></a:msub></a:mrow></a:math>. With these entanglement entropies, we examine in detail the holographic duals of different entangling configurations unambiguously. In the thermofield double state, we show an horizon-crossing feature in two-sided entanglement configuration.