Correspondence between real-space topology and spectral flows at disclinations

The recent interest in topological states localized to disclinations has highlighted the bulk-disclination correspondence, which links the reciprocal-space topology of a lattice to the emergence of such states. In this work, we extend such correspondence to the real-space topology. We construct a lattice with trivial reciprocal-space topology, in which the emergence of topological states and spectral flows at disclinations is induced by real-space topology. We experimentally verify the correspondence between real-space topology and disclination states in electrical circuit systems. Our findings offer insight into the real-space topology and enrich the family of topological states with their realization in topolectrical circuits.