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Résumé |
We analyze general properties of cusped defect lines embedded in generic
conformal field theories (CFTs). We prove that suitably defined cusp scaling
operators
transform like primary operators under general conformal transformations. We show
that,
via the cusp operator expansion (COE), defects of general shape can be expanded in
a basis
of cusped defects. These findings are checked and exemplified in the case of the
localized
magnetic field defect. Finally, we derive analytic constraints on dynamical cusp
data by
making use of a crossing equation, and discuss possible numerical bootstrap
applications
of our results. |
