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Cusped line defects play an important role in quantum field theory, with applications ranging from scattering amplitudes to quantum quenches and Casimir-energy computations. In this talk, I will discuss general properties of cusped line defects and, in particular, the cusp anomalous dimension that governs the partition function of a defect with a cusp. I will discuss both the Euclidean and the Lorentzian setting.