Past talks 2022
07/12/22
Title: Conformal defects, correlators and Bootstrap constraints
Abstract: Conformal Field Theories hold a special place amongst QFTs, both for their omnipresence in physical theories and for their symmetries. The insertion of defects in this setup makes for a richer system. Through this talk, I will explore the plethora of such theories and the methods to obtain meaningful results pertaining to their properties. I will introduce strong coupling computations of holographic defects, where results are tractable perturbatively. I will then show the power and limits of the analytic conformal bootstrap and finally motivate the search for additional input and constraints from integrated correlators and Yangian Symmetry. Using as an example the 1/2 BPS Wilson line defect in ABJM, I hope to convey the interest in using the interplay of perturbative and non-perturbative methods and constraints to study conformal defects.
26/10/22
Title: Bootstrapping holographic defect correlators
Abstract: Tremendous progress has been achieved during the last years in bootstrapping conformal correlators at strong coupling using analytical bootstrap methods and the AdS/CFT correspondence. In particular, the development of Lorentzian inversion formulae revealed helpful in reconstructing four-point functions. In this talk I will present how this technology can be adapted to defect setups in order to compute scalar two-point functions in the presence of a conformal defect in the strong-coupling regime. We derived a dispersion relation that allows to efficiently generate elegant closed-form expressions for a variety of setups, and in particular we apply this method to two-point functions of single-trace half-BPS operators in the presence of the supersymmetric Wilson line defect in 4d N=4 SYM, using minimal input from holography.