Supersymmetric AdS3 X S2 M-theory geometries with fluxes

Understand

Motivated by a recent observation that the LLM geometries admit 1/4-BPS M5-brane probes with worldvolume AdS3 X \Sigma_2 X S1 preserving the R-symmetry, we initiate a classification of the most general AdS3 X S2 geometries in M-theory.

• We retain all field strengths consistent with symmetry and derive the torsion conditions for M_6 in terms of two linearly independent spinors.
• Surprisingly, we identify three Killing directions for M_6, but only two of these generate isometries of the overall ansatz.
• We show that the existence of this third direction depends on the norm of the spinors.