Mixed boundary conditions in AdS2/CFT1 from the coupling with a Kalb-Ramond field
- Resource Type
- Original Paper
- Authors
- Correa, Diego H.; Ferro, Maximiliano G.; Giraldo-Rivera, Victor I.
- Source
- Journal of High Energy Physics. 2024(2)
- Subject
- AdS-CFT Correspondence
Scale and Conformal Symmetries
Wilson
’t Hooft and Polyakov loops
- Language
- English
- ISSN
- 1029-8479
Abstract: The open string dual to a 1/6 BPS Wilson line in the 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.