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We develop the complex angular momentum method in the context of the BTZblack hole physics. This is achieved by extending a formalism introduced a longtime ago by Arnold Sommerfeld, which allows us to define and use the Regge poleconcept in a framework where the notion of an $S$ matrix does not exist. TheRegge poles of the BTZ black hole are exactly obtained and from the associatedRegge trajectories we determine its quasinormal mode complex frequencies.Furthermore, our approach permits us to physically interpret them: they appearas Breit-Wigner-type resonances generated by surface waves supported by theblack hole boundary at infinity which acts as a photon sphere.

Quasinormal modes of the BTZ black hole are generated by surface waves supported by its boundary at infinity