Towards a categorification of scattering amplitudes
| Autor: | Barmeier, Severin, Oak, Prafulla, Pal, Aritra, Ray, Koushik, Treffinger, Hipolito |
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| Rok vydání: | 2021 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | Categorification of scattering amplitudes for planar Feynman diagrams in scalar field theories with a polynomial potential is reported. Amplitudes for cubic theories are directly written down in terms of projectives of hearts of intermediate $t$-structures restricted to the cluster category of quiver representations, without recourse to geometry. It is shown that for theories with $\phi^{m+2}$ potentials those corresponding to $m$-cluster categories are to be used. The case of generic polynomial potentials is treated and our results suggest the existence of a generalization of higher cluster categories which we call pseudo-periodic categories. An algorithm to obtain the projectives of hearts of intermediate $t$-structures for these types is presented. Comment: 33 pages, 14 figures, comments are very welcome, v2 fixed Fig. 3 |
| Databáze: | arXiv |
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