Linking defects via AdS/CFT holography

A

bstract

In this article, we discuss some supersymmetric probe D5 brane solutions embedded in a type 2b supergravity background solution obtained by deforming the global AdS ₅ × S ⁵ spacetime. The D5 brane solution of interest has a non-compact worldvolume, and when it is placed alongside overlapping with an anti- $$\overline{\text{D}5 }$$ solution, the combination is dual to a codimension-1 defect of the boundary SYM theory. The dual defect becomes a topological symmetry defect of a U(1) 0-form global symmetry if we move the profile of the probe D5 more towards the boundary of the bulk spacetime, resulting in a U-shaped profile hanging from the boundary. We show how the hanging D5 brane can be used holographically to measure the U(1) global symmetry charge of the heavy determinant operators in the SYM theory by moving them across dual giant graviton D3 branes in the bulk spacetime.