Speaker
Description
In lattice studies of line defects, such as entanglement cuts or monodromy defects in 2+1d, or line defects in general dimensions, non-trivial geometries of the defect are typically forced to contain sharp corners or cusps. Each cusp contributes to the overall finite size scaling of the observable via its associated cusp anomalous dimension. I will present simple bounds on the cusp anomalous dimension that follow from unitarity and locality constraints obeyed by scale-invariant line defects in the continuum. One bound in particular relates the cusp anomalous dimension of a right angle cusp to the universal defect mass of a pair of defects in the fusion limit, complementing known universal asymptotics of the cusp anomalous dimension when the cusp angle is large or small. I will mention refinements of the analysis in the presence of global symmetries, which lead to new bounds on charged cusps.