Finkelstein-Rubinstein constraints from ADHM data and rational maps
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arXiv
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| Autores principales: | , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866911788411387904 |
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| author | Cork, Josh Harland, Derek |
| author_facet | Cork, Josh Harland, Derek |
| contents | We establish simple formulae for computing Finkelstein-Rubinstein signs for Skyrme fields generated in two ways: from instanton ADHM data, and from rational maps. This may be used to compute homotopy classes of general loops in the configuration spaces of skyrmions, and as a result provide a useful tool for a quantum treatment beyond rigid-body quantisation of skyrmions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_16494 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Finkelstein-Rubinstein constraints from ADHM data and rational maps Cork, Josh Harland, Derek High Energy Physics - Theory Mathematical Physics We establish simple formulae for computing Finkelstein-Rubinstein signs for Skyrme fields generated in two ways: from instanton ADHM data, and from rational maps. This may be used to compute homotopy classes of general loops in the configuration spaces of skyrmions, and as a result provide a useful tool for a quantum treatment beyond rigid-body quantisation of skyrmions. |
| title | Finkelstein-Rubinstein constraints from ADHM data and rational maps |
| topic | High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2401.16494 |