Planar rooted line arrangements and an operad for factorized scattering
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866909433343246336 |
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| author | Bashkirov, Denis |
| author_facet | Bashkirov, Denis |
| contents | We introduce two topological non-$Σ$ operad structures on planar line arrangements subject to a certain geometric order condition, ensuring a well-defined notion of particle ordering on a distinguished line. This is interpreted in terms of scattering diagrams in purely elastic (1+1)-dimensional theories. We discuss a possible approach to factorized scattering in operadic terms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_14157 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Planar rooted line arrangements and an operad for factorized scattering Bashkirov, Denis Mathematical Physics Combinatorics Quantum Algebra We introduce two topological non-$Σ$ operad structures on planar line arrangements subject to a certain geometric order condition, ensuring a well-defined notion of particle ordering on a distinguished line. This is interpreted in terms of scattering diagrams in purely elastic (1+1)-dimensional theories. We discuss a possible approach to factorized scattering in operadic terms. |
| title | Planar rooted line arrangements and an operad for factorized scattering |
| topic | Mathematical Physics Combinatorics Quantum Algebra |
| url | https://arxiv.org/abs/2412.14157 |