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In the first part of this talk, we discuss a generalized replica trick that is based on replica symmetry breaking partitions. This allows us compute the modular Hamiltonian, relative entropy and quantum Fisher information of excited states in conformal field theory.
In the second part, we consider holographic CFTs and show that quantum Fisher metric for ball shaped regions in vacuum is dual to the canonical energy of metric perturbations corresponding to the Rindler wedge of Anti-de Sitter space.