BPS M5-branes as Defects for the 3d-3d Correspondence

Understand

We study supersymmetric probe M5-branes in the AdS_4 solution that arises from M5-branes wrapped on a hyperbolic 3-manifold M_3.

• This amounts to introducing internal defects within the framework of the 3d-3d correspondence.
• The BPS condition for a probe M5-brane extending along all of AdS_4 requires it to wrap a surface embedded in an S^2-fibration over M_3.
• We find that the projection of this surface to M_3 can be either a geodesic or a tubular surface around a geodesic.