Abstract
The open string dual to a 1/6 BPS Wilson line in the \( \mathcal{N} \) = 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.
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Acknowledgments
We thank Alberto Faraggi, Martín Lagares and Guillermo Silva for discussion and comments. This work was partially supported by PICT 2020-03749, PIP 02229 and UNLP X910. DHC would like to acknowledge support from the ICTP through the Associates Programme (2020–2025) during the initial stages of this project.
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Correa, D.H., Ferro, M.G. & Giraldo-Rivera, V.I. Mixed boundary conditions in AdS2/CFT1 from the coupling with a Kalb-Ramond field. J. High Energ. Phys. 2024, 141 (2024). https://doi.org/10.1007/JHEP02(2024)141
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DOI: https://doi.org/10.1007/JHEP02(2024)141