One-point Functions in Defect CFT and Integrability

Understand

We calculate planar tree level one-point functions of non-protected operators in the defect conformal field theory dual to the D3-D5 brane system with k units of the world volume flux.

• Working in the operator basis of Bethe eigenstates of the Heisenberg XXX_{1/2} spin chain we express the one-point functions as overlaps of these eigenstates with a matrix product state.
• For k=2 we obtain a closed expression of determinant form for any number of excitations, and in the case of half-filling we find a relation with the N\'eel state.
• In addition, we present a number of results for the limiting case of infinite k.