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Defects (interfaces) are important probes in quantum field theories and are also ubiquitous in condensed matter systems. In the holographic study of such interfaces in two-dimensional conformal field theories using a thin-brane model, we encountered a surprising correspondence between the solutions of three-dimensional gravity, obtained by gluing two identical copies of a spacetime across a tensile string and the solutions of the Nambu-Goto equation in the same spacetime. In this talk, I will demonstrate how the non-linear Nambu-Goto equation (along with other corrections ) emerges directly from the Israel gluing conditions, somewhat implying that the classical motion of the fundamental string is itself a consequence of spacetime dynamics in three dimensions. From a gravitational perspective, our results are valid both in three-dimensional flat and AdS space. In the latter context (AdS3_3/CFT_2 correspondence), our setup could be used to describe a noble class of dynamical interfaces that encodes the Nambu-Goto solution corresponding to the bulk junction. Finally, I will conclude with multiple interesting future directions emerging from our work. |