Аннотация:Vortex-carrying wave fields play a crucial role in photonics due to unusual propagation propertiesand interactions with matter, which enable numerous practical applications ranging from optical tweezers andimaging to information encoding and transmission. Localized vortex-carrying beams propagating in nonlinearoptical media may form self-sustained excited states—vortex solitons—which are however usually prone toinstabilities and require high powers for their stabilization in nontopological materials. Using fs-laser–writtenaperiodic waveguide arrays, we demonstrate that photonic topological insulators (TIs) with disclinations admitthe formation of stable and thresholdless vortex solitons with tunable shapes. These unique materials belongto a class of higher-order topological insulators and allow the propagation of localized, topologically protectedexcitations at the disclination core, enabling disorder-resistant transmission of signals and energy. We showthat vortex solitons bifurcate from the superposition of topologically protected linear edge states at thedisclination core and remain stable in the entire forbidden topological gap. Realized topological vortexsolitons with symmetries that are inaccessible in periodic lattices are the first example of excited solitonstates with nontrivial phase structure in a TI. Our findings shine a light on the interplay betweennonlinearity, the angular momentum degree of freedom of light, and the material topology