• symmetry-resolution
• realignment
• entanglement entropy
• entanglement
• conformal field theory

Even though entanglement is well understood and measured for pure states in bipartite systems, it is not quite the same for mixed states. We focus on the Realignment, an interesting entanglement witness for mixed states that has shown universal properties in critical systems. Our purpose is to do the symmetry resolution of this quantity in conformal field theory. We consider the free Dirac fermion and the compact boson. Finally, we check all the theoretical results in the tight-binding model, whose low-energy physics is described by the NS-NS sector of the Dirac fermion.