Spectral Flow of Vortex Shape Modes over the BPS 2-Vortex Moduli Space
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| Main Authors: | , , , |
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| Format: | Preprint |
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2023
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| _version_ | 1866914966051749888 |
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| author | Alonso-Izquierdo, A. Fuertes, W. Garcia Manton, N. S. Guilarte, J. Mateos |
| author_facet | Alonso-Izquierdo, A. Fuertes, W. Garcia Manton, N. S. Guilarte, J. Mateos |
| contents | 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. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2310_17486 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Spectral Flow of Vortex Shape Modes over the BPS 2-Vortex Moduli Space Alonso-Izquierdo, A. Fuertes, W. Garcia Manton, N. S. Guilarte, J. Mateos High Energy Physics - Theory 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. |
| title | Spectral Flow of Vortex Shape Modes over the BPS 2-Vortex Moduli Space |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2310.17486 |