Bootstrap Program for Holographic Defects

I will give an overview of the recent progress in developing analytic bootstrap techniques for studying holographic defects. These holographic defects include a wide array of interesting systems ranging from Wilson-'t Hooft loops, surface defects to theories on real project space and giant gravitons. I will focus on defect two-point functions and introduce general techniques to efficiently compute them at tree and loop levels in AdS, as well as their stringy corrections.