One-point Functions in Defect CFT and Integrability

Authors: M. de Leeuw, C. Kristjansen and K. Zarembo Preprint number: UUITP-12/15 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 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 Néel state. In addition, we present a number of results for the limiting case of infinite k.