报告题目：Spectral flow of vortex shape modes over the BPS 2-vortex moduli space
主讲人：Juan Mateos Guilarte教授
ZOOM ID：210 089 8623
摘要：The flow of shape eigenmodes of the small fluctuation operator around BPS 2-vortex solutions is calculated, as a function of the intervortex separation 2d. For the rotationally-invariant 2-vortex, with d=0, there are three discrete modes; the lowest is non-degenerate and the upper two are degenerate. As d increases, the degeneracy splits, with one eigenvalue increasing and entering the continuous spectrum, and the other decreasing and asymptotically coalescing with the lowest eigenvalue, where they jointly become the eigenvalue of the 1-vortex radial shape mode. The behaviour of the eigenvalues near d=0 is clarified using a perturbative analysis, and also in light of the 2-vortex moduli space geometry.
简介：Juan Mateos Guilarte is a mathematician in the department of applied mathematics of the University of Salamanca, Spain. Juan is an expert on topological solitons, Morse theory etc. Juan has published over 75 papers in JHEP, Phys.Rev.Lett., Phys.Rev.D, Phys.Lett.B, Nucl.Phys.B, J.Phys.A, Nonlinearity, J.Math.Phys., J.Geom.Phys., Lett.Math.Phys., Front.in Phys.,Nuovo Cim., Annals Phys. with over 1000 citations.