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Bound states in the continuum (BICs) defy conventional wisdom that assumes aspectral separation between propagating waves, that carry energy away, andspatially localized waves corresponding to discrete frequencies. They can bedescribed as resonance states with infinite lifetime, i.e., leaky modes withzero leakage. The advent of metamaterials and nanophotonics allowed thecreation of BICs in a variety of systems. Mainly, BICs have been realized bydestructive interference between outgoing resonant modes or exploitingengineered global symmetries that enforce the decoupling of asymmetry-incompatible bound mode from the surrounding radiation modes. Here, weintroduce theoretically BICs relying on a different mechanism, namely localsymmetries that enforce a field concentration on a part of a complex systemwithout implying any global symmetry. We experimentally implement such BICsusing microwaves in a compact one-dimensional photonic network and show thatthey emerge from the annihilation of two topological singularities, a zero anda pole, of the measured scattering matrix. Our alternative for achieving BICsin complex wave systems may be useful for applications like sensing, lasing,and enhancement of nonlinear interactions that require high-$Q$ modes.

Bound states in the continuum induced via local symmetries in complex structures