“…For example, the counterclockwise (CCW) and clockwise (CW) modes possess M 𝑥 and M 𝑦 , while the breathing mode possesses M 𝑧 , which was confirmed by the selection rule for the microwave spectroscopy [45,[56][57][58]. In addition to these magnetically active modes, SkXs support polygon deformation modes, arising from singleskyrmion bound states [27][28][29][30]. These modes are characterized by azimuthal quantum number ℓ [59], with ℓ = 2 for elliptic, ℓ = 3 for triangle, ℓ = 4 for square, ℓ = 5 for pentagon, and ℓ = 6 for hexagon, showing higher multipolar characters.…”