During roughly the last year, a number of papers about one-point functions in the N=4 SYM theory with a defect, dual to the D5-D3 brane system, have come out from the NBI-people around Kristjansen together with Zarembo. I intend to give some brief background and a general overview of these papers. The focus is how the one-point functions of operators in the SU(2) and SU(3)-sectors can be expressed as certain overlaps in the corresponding spin-chain pictures. The task of finding loop correction and hence the dCFT-propagators is also addressed.
The ArXiv-numbers for the primary papers of interest are:
1506.06958v2
1512.02532v2
1606.01886v1
1611.04603v1