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Topological crystalline superconductors have attracted rapidly risingattention due to the possibility of higher-order phases, which support Majoranamodes on boundaries in $d-2$ or lower dimensions. However, although theclassification and bulk topological invariants in such systems have been wellstudied, it is generally difficult to faithfully predict the boundary Majoranasfrom the band-structure information due to the lack of well-establishedbulk-boundary correspondence. Here we propose a protocol for deriving symmetryindicators that depend on a minimal set of necessary symmetry data of the bulkbands and can diagnose boundary features. Specifically, to obtain indicatorsmanifesting clear bulk-boundary correspondence, we combine the topologicalcrystal classification scheme in the real space and a twisted equivariant Kgroup analysis in the momentum space. The key step is to disentangle thegenerally mixed strong and weak indicators through a systematic basis-matchingprocedure between our real-space and momentum-space approaches. We demonstrateour protocol using an example of two-dimensional time-reversal odd-paritysuperconductors, where the inversion symmetry is known to protect ahigher-order phase with corner Majoranas. Symmetry indicators derived from ourprotocol can be readily applied to ab initio database and could fuel materialpredictions for strong and weak topological crystalline superconductors withvarious boundary features.

Faithful derivation of symmetry indicators: A case study for topological superconductors with time-reversal and inversion symmetries