Cluster adjacency for m = 2 Yangian invariants
Abstract We classify the rational Yangian invariants of the m = 2 toy model of N $$ \mathcal{N} $$ = 4 Yang-Mills theory in terms of generalised triangles inside the amplituhedron A n , k 2 $$ {\mathcal{A}}_{n,k}^{(2)} $$ . We enumerate and provide an explicit formula for all invariants for any numb...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-10-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP10(2019)158 |
| _version_ | 1818333789285253120 |
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| author | Tomasz Łukowski Matteo Parisi Marcus Spradlin Anastasia Volovich |
| author_facet | Tomasz Łukowski Matteo Parisi Marcus Spradlin Anastasia Volovich |
| author_sort | Tomasz Łukowski |
| collection | DOAJ |
| description | Abstract We classify the rational Yangian invariants of the m = 2 toy model of N $$ \mathcal{N} $$ = 4 Yang-Mills theory in terms of generalised triangles inside the amplituhedron A n , k 2 $$ {\mathcal{A}}_{n,k}^{(2)} $$ . We enumerate and provide an explicit formula for all invariants for any number of particles n and any helicity degree k. Each invariant manifestly satisfies cluster adjacency with respect to the Gr(2, n) cluster algebra. |
| first_indexed | 2024-12-13T13:57:13Z |
| format | Article |
| id | doaj.art-966c9463b09645a7a8e6249a04e11279 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-13T13:57:13Z |
| publishDate | 2019-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-966c9463b09645a7a8e6249a04e112792022-12-21T23:42:52ZengSpringerOpenJournal of High Energy Physics1029-84792019-10-0120191011110.1007/JHEP10(2019)158Cluster adjacency for m = 2 Yangian invariantsTomasz Łukowski0Matteo Parisi1Marcus Spradlin2Anastasia Volovich3School of Physics, Astronomy and Mathematics, University of HertfordshireMathematical Institute, University of OxfordDepartment of Physics, Brown UniversityDepartment of Physics, Brown UniversityAbstract We classify the rational Yangian invariants of the m = 2 toy model of N $$ \mathcal{N} $$ = 4 Yang-Mills theory in terms of generalised triangles inside the amplituhedron A n , k 2 $$ {\mathcal{A}}_{n,k}^{(2)} $$ . We enumerate and provide an explicit formula for all invariants for any number of particles n and any helicity degree k. Each invariant manifestly satisfies cluster adjacency with respect to the Gr(2, n) cluster algebra.http://link.springer.com/article/10.1007/JHEP10(2019)158Scattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Tomasz Łukowski Matteo Parisi Marcus Spradlin Anastasia Volovich Cluster adjacency for m = 2 Yangian invariants Journal of High Energy Physics Scattering Amplitudes Supersymmetric Gauge Theory |
| title | Cluster adjacency for m = 2 Yangian invariants |
| title_full | Cluster adjacency for m = 2 Yangian invariants |
| title_fullStr | Cluster adjacency for m = 2 Yangian invariants |
| title_full_unstemmed | Cluster adjacency for m = 2 Yangian invariants |
| title_short | Cluster adjacency for m = 2 Yangian invariants |
| title_sort | cluster adjacency for m 2 yangian invariants |
| topic | Scattering Amplitudes Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP10(2019)158 |
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