Correlators in defect conformal field theory through holography

In this work we firstly review the core elements of the AdS_5/CFT_4 correspondence, from the effective actions of the type-IIB superstring theory, to the dictionary defining the correspondence. Then, we focus on the insertion of a Wilson Line in the N = 4 Super Yang-Mills theory and study the dual set-up, which is an AdS_2 insertion in AdS_5 for a Wilson line in the fundamental representation, a D3-brane (AdS_2 × S^2) for a Wilson line in the symmetric representation and a D5-brane (AdS_2 × S^4 in AdS_5 × S^5) for a Wilson line in the antisymmetric representation of the gauge group SU(N). Our work explores how an AdS_5-field, dual to a 1/2-BPS operator in the bulk of the CFT_4, couples to the brane and its fluctuations’ fields in these different set-ups.