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The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ superChern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show thatthe resulting boundary term imposes mixed boundary conditions on the fieldsthat describe the fluctuations on the world-sheet. These boundary conditionsfix a combination of the derivatives of the fluctuations, parallel andtransverse to the boundary. We holographically compute the correlationfunctions of insertions on the Wilson line in terms of world-sheet Wittendiagrams. We observe that their functional dependence is consistent with theconformal symmetry on the line.

Mixed boundary conditions in AdS$_2$/CFT$_1$ from the coupling with a Kalb-Ramond field