MSc defense by Khalil Idiab

Wilson lines in AdS/dCFT and the holographic particle-interface potential

The project computes the expectation value of Wilson lines to one-loop order for two holographic defect conformal field theories. Supersymmetry is completely broken for both setups, but only one  is described by an integrable boundary state. The known computation for the supersym-metric dCFT with so(3) R-symmetry is briefly reviewed and its results are reproduced. After finding the Wilson line expectation value for all three setups we solve their gravity dual. First treating the brane conguration for the setups and then computing the string action dual to the Wilson lines. We find perfect agreement for the non-local observable in the double scaling limit for all three setups as predicted by the holographic dictionary.