Abstract
We study supersymmetric probe M5-branes in the AdS4 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 AdS4 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. These configurations preserve an extra U(1) symmetry, in addition to the one corresponding to the R-symmetry of the dual 3d \( \mathcal{N}=2 \) gauge theory. BPS M2-branes can stretch between M5-branes wrapping geodesics. We interpret the addition of probe M5-branes on a closed geodesic in terms of conformal Dehn surgery.
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ArXiv ePrint: 1407.0403
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Bah, I., Gabella, M. & Halmagyi, N. BPS M5-branes as defects for the 3d-3d correspondence. J. High Energ. Phys. 2014, 112 (2014). https://doi.org/10.1007/JHEP11(2014)112
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DOI: https://doi.org/10.1007/JHEP11(2014)112