Supersymmetric Mixed Boundary Conditions in AdS${}_2$ and DCFT${}_1$ Marginal Deformations

Abstract

We consider different supersymmetric mixed boundary conditions for scalar and fermionic fields in $Ad{S}_2$, searching for the dual description of a family of interpolating Wilson Loops in ABJM theory. The family, which interpolates between the bosonic 1/6 BPS loop and the 1/2 BPS loop, can be thought of as an exact marginal deformation in a defect CFT${}_1$. Confronting this property against holographic correlators and vacuum energy corrections singles out a particular boundary condition which we propose as dual to the interpolating family of Wilson loops.

27 pages. v2: various sections have been expanded for clarification, typos corrected and references added. Published version in JHEP