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Résumé |
In theories like N =4 Super Yang Mills, we have two remarkable sets of tools at our disposal: integrability and
the conformal bootstrap, which encode different information. The combination of these two approaches can
lead to accurate bounds for some nontrivial 3-point functions in the planar limit, particularly in the setup of
defect observables built on a supersymmetric Wilson line. However, while the precision is very good for the
OPE coefficients of low-lying states, higher in the spectrum it drops rapidly, limiting the possibility to
reconstruct correlation functions. I will present a new approach which allows to deduce rigorous bounds
directly for a 4-point function, adapting appropriately the numerical bootstrap algorithms. I will show how,
supplemented with different types of information from integrability, this method leads to a very precise
determination of the correlator. I will also discuss the implications of a previously unnoticed parity symmetry
in the defect CFT and future directions. |
