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

Autor: Correa, Diego H., Ferro, Maximiliano G., Giraldo-Rivera, Victor I.
Rok vydání: 2023
Předmět:
Druh dokumentu: Working Paper
Popis: The open string dual to a 1/6 BPS Wilson line in the ${\cal N} = 6$ 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.
Comment: 23 pages, 11 figures; v2: references added. Version to appear in JHEP
Databáze: arXiv