Wilson Lines and Ishibashi States in AdS$_3$/CFT$_2$

Understand

We provide a refined interpretation of a gravitational Wilson line in AdS$_3$ in terms of Ishibashi states in the dual CFT$_2$.

• Our strategy is to give a method to evaluate the Wilson line that accounts for all the information contained in the representation, and clarify the role of boundary conditions at the endpoints of the line operator.
• This gives a novel way to explore and reconstruct the local bulk dynamics which we discuss.
• We also compare our findings with other interpretations of Ishibashi states in AdS$_3$/CFT$_2$.