Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d
Abstract We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional N ≤ 4 $$ \mathcal{N}\le 4 $$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes previously known formulas for all-trace pu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2017-08-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP08(2017)033 |
| _version_ | 1819091520632913920 |
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| author | Kai A. Roehrig |
| author_facet | Kai A. Roehrig |
| author_sort | Kai A. Roehrig |
| collection | DOAJ |
| description | Abstract We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional N ≤ 4 $$ \mathcal{N}\le 4 $$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes previously known formulas for all-trace purely bosonic, or supersymmetric single-trace amplitudes. We find this formula by applying a new chiral splitting formula for all CHY Pfaffians in 4d, into two determinants, of positive and negative helicity respectively. The splitting of CHY Pfaffians is shown to be a special case of the splitting of T M $$ T\mathbb{M} $$ valued fermion correlators on the sphere, which does not require the scattering equations to hold, and is a consequence of the isomorphism T M ≃ S + ⊗ S − $$ T\mathbb{M}\simeq {\mathbb{S}}^{+}\otimes {\mathbb{S}}^{-} $$ between the tangent bundle of Minkowski space and the left- and right-handed spin bundles. We present and prove this general splitting formula. |
| first_indexed | 2024-12-21T22:41:02Z |
| format | Article |
| id | doaj.art-5a439531a1b7427a96c46e8fddc2bfd6 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-21T22:41:02Z |
| publishDate | 2017-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-5a439531a1b7427a96c46e8fddc2bfd62022-12-21T18:47:50ZengSpringerOpenJournal of High Energy Physics1029-84792017-08-012017812410.1007/JHEP08(2017)033Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4dKai A. Roehrig0Department of Applied Mathematics & Theoretical Physics, University of CambridgeAbstract We present a world-sheet formula for all tree level scattering amplitudes, in all trace sectors, of four dimensional N ≤ 4 $$ \mathcal{N}\le 4 $$ supersymmetric Einstein-Yang-Mills theory, based on the refined scattering equations. This generalizes previously known formulas for all-trace purely bosonic, or supersymmetric single-trace amplitudes. We find this formula by applying a new chiral splitting formula for all CHY Pfaffians in 4d, into two determinants, of positive and negative helicity respectively. The splitting of CHY Pfaffians is shown to be a special case of the splitting of T M $$ T\mathbb{M} $$ valued fermion correlators on the sphere, which does not require the scattering equations to hold, and is a consequence of the isomorphism T M ≃ S + ⊗ S − $$ T\mathbb{M}\simeq {\mathbb{S}}^{+}\otimes {\mathbb{S}}^{-} $$ between the tangent bundle of Minkowski space and the left- and right-handed spin bundles. We present and prove this general splitting formula.http://link.springer.com/article/10.1007/JHEP08(2017)033Scattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Kai A. Roehrig Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d Journal of High Energy Physics Scattering Amplitudes Supersymmetric Gauge Theory |
| title | Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d |
| title_full | Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d |
| title_fullStr | Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d |
| title_full_unstemmed | Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d |
| title_short | Chiral splitting and N = 4 $$ \mathcal{N}=4 $$ Einstein-Yang-Mills tree amplitudes in 4d |
| title_sort | chiral splitting and n 4 mathcal n 4 einstein yang mills tree amplitudes in 4d |
| topic | Scattering Amplitudes Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP08(2017)033 |
| work_keys_str_mv | AT kaiaroehrig chiralsplittingandn4mathcaln4einsteinyangmillstreeamplitudesin4d |