U(1) entanglement asymmetry in the Ising CFT via non-topological defects
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The entanglement asymmetry quantifies the extent to which a given state deviates from being invariant under a specific group. In modern terminology, symmetries of a QFT are realized through topological defects and, consequently, the entanglement asymmetry measures the degree to which these defects fail to be topological. We examine the entanglement asymmetry under rotations around the z-axis of the ground state of the critical Ising chain, with CFT techniques. This boils down to calculating the ground state energy of Majorana fermions on a circle with defects that couple the left and right chiral components.
Contact: Jérôme Dubail
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Auteur - Michele Fossati (SISSA — Trieste, Italy)