Speaker
Ziwen Kong
(DESY)
Description
Symmetry-breaking is an innate nature of defects. There is a distinguished set of defect operators that keeps track of the symmetries in the parent conformal field theory broken by the defect insertion, such as the tilt operators and displacement operators. We find identities of such defect operators between their 2-pt functions and integrated 4-pt functions (and higher ones), based on either the geometric properties of the defect conformal manifold which is the symmetry-breaking coset, or the Lie algebra of corresponding broken symmetry generators. I will demonstrate these integral identities in the case of the 1/2 BPS Maldacena-Wilson loop in N = 4 SYM as an example.
