AdS${}_3$/BCFT${}_2$ correspondence and 't Hooft anomaly of U(1) symmetry
We investigate how a U(1) 't Hooft anomaly obstructs symmetry-preserving boundary conditions from the perspective of the AdS${}_3$/BCFT${}_2$ correspondence. By considering a U(1) Maxwell--Chern--Simons system in the bulk spacetime, we show that the BCFT current is not conserved at the boundary. We also derive the general solution for the gauge field in AdS${}_2$ slicing.
hep-th↗