Mixed boundary conditions in AdS2/CFT1 from the coupling with a Kalb-Ramond field

Abstract

Abstract The open string dual to a 1/6 BPS Wilson line in the N $$ \mathcal{N} $$ = 6 super Chern-Simons-matter theory is coupled to a flat Kalb-Ramond field. We show that the resulting boundary term imposes mixed boundary conditions on the fields that describe the fluctuations on the world-sheet. These boundary conditions fix a combination of the derivatives of the fluctuations, parallel and transverse to the boundary. We holographically compute the correlation functions of insertions on the Wilson line in terms of world-sheet Witten diagrams. We observe that their functional dependence is consistent with the conformal symmetry on the line.

Keywords

• AdS-CFT Correspondence
• Scale and Conformal Symmetries
• Wilson
• ’t Hooft and Polyakov loops