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

CORREA, DIEGO H.; FERRO, MAXIMILIANO G. ; GIRALDO-RIVERA, VICTOR I.

JOURNAL OF HIGH ENERGY PHYSICS - (Online)

Springer Science and Business Media Deutschland GmbH

Lugar: Trieste; Año: 2024 vol. 2024

1029-8479

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.