Topological field theory and thermal responses of interacting topological superconductors

We investigate the three-dimensional, time-reversal invariant topological superconductors with generic interaction by their response to external fields. The first description is a gravitational topological field theory, which gives a Z₂ classification of topological superconductors, and predicts a half quantized thermal Hall effect on the surface. The second description introduces an s-wave proximity pairing field on the surface, and the associated topological defects give an integer Z classification of the topological superconductors.