On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring
Abstract We revisited the formalism of 110 polarized scattering equation by Geyer and Mason from the perspective of spinor frame approach and spinor moving frame formulation of the 110 ambitwistor superstring action. In particular, we rigorously obtain the equation for the spinor function on Riemann...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-11-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | http://link.springer.com/article/10.1007/JHEP11(2019)087 |
| _version_ | 1818530881924497408 |
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| author | Igor Bandos |
| author_facet | Igor Bandos |
| author_sort | Igor Bandos |
| collection | DOAJ |
| description | Abstract We revisited the formalism of 110 polarized scattering equation by Geyer and Mason from the perspective of spinor frame approach and spinor moving frame formulation of the 110 ambitwistor superstring action. In particular, we rigorously obtain the equation for the spinor function on Riemann sphere from the supertwistor form of the ambitwistor superstring action, write its general solution and use it to derive the polarized scattering equation. We show that the expression used by Geyer and Mason to motivate their ansatz for the solution of polarized scattering equation can be obtained from our solution after a suitable gauge fixing. To this end we use the hidden gauge symmetries of the 110 ambitwistor superstring, including S0(16), and the description of ambitwistor superstring as a dynamical system in an 110 superspace enlarged by bosonic directions parametrized by 517 tensorial central charge coordinates Z μ ¯ ν ¯ $$ {Z}^{\underline{\mu}\underline {\nu }} $$ and Z μ ¯ ν ¯ ρ ¯ σ ¯ κ ¯ $$ {Z}^{\underline{\mu}\underline {\nu}\underline{\rho}\underline {\sigma}\underline{\kappa}} $$ . We have also found the fermionic superpartner of the polarized scattering equation. This happens to be a differential equation in fermionic variables imposed on the super amplitude, rather then just a condition on the scattering data as the bosonic polarized scattering equation is. D=10 case is also discussed stressing the similarities and differences with 110 systems. The useful formulation of 100 ambitwistor superstring considers it as a dynamical system in superspace enlarged with 126 tensorial central charge coordinates Z μνρσκ . |
| first_indexed | 2024-12-11T17:25:18Z |
| format | Article |
| id | doaj.art-34d60952df474cd5a92d316a304bbc2e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-11T17:25:18Z |
| publishDate | 2019-11-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-34d60952df474cd5a92d316a304bbc2e2022-12-22T00:56:59ZengSpringerOpenJournal of High Energy Physics1029-84792019-11-0120191114110.1007/JHEP11(2019)087On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstringIgor Bandos0Department of Theoretical Physics, University of the Basque Country UPV/EHUAbstract We revisited the formalism of 110 polarized scattering equation by Geyer and Mason from the perspective of spinor frame approach and spinor moving frame formulation of the 110 ambitwistor superstring action. In particular, we rigorously obtain the equation for the spinor function on Riemann sphere from the supertwistor form of the ambitwistor superstring action, write its general solution and use it to derive the polarized scattering equation. We show that the expression used by Geyer and Mason to motivate their ansatz for the solution of polarized scattering equation can be obtained from our solution after a suitable gauge fixing. To this end we use the hidden gauge symmetries of the 110 ambitwistor superstring, including S0(16), and the description of ambitwistor superstring as a dynamical system in an 110 superspace enlarged by bosonic directions parametrized by 517 tensorial central charge coordinates Z μ ¯ ν ¯ $$ {Z}^{\underline{\mu}\underline {\nu }} $$ and Z μ ¯ ν ¯ ρ ¯ σ ¯ κ ¯ $$ {Z}^{\underline{\mu}\underline {\nu}\underline{\rho}\underline {\sigma}\underline{\kappa}} $$ . We have also found the fermionic superpartner of the polarized scattering equation. This happens to be a differential equation in fermionic variables imposed on the super amplitude, rather then just a condition on the scattering data as the bosonic polarized scattering equation is. D=10 case is also discussed stressing the similarities and differences with 110 systems. The useful formulation of 100 ambitwistor superstring considers it as a dynamical system in superspace enlarged with 126 tensorial central charge coordinates Z μνρσκ .http://link.springer.com/article/10.1007/JHEP11(2019)087Field Theories in Higher DimensionsScattering AmplitudesSupergravity ModelsSupersymmetric Gauge Theory |
| spellingShingle | Igor Bandos On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring Journal of High Energy Physics Field Theories in Higher Dimensions Scattering Amplitudes Supergravity Models Supersymmetric Gauge Theory |
| title | On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring |
| title_full | On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring |
| title_fullStr | On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring |
| title_full_unstemmed | On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring |
| title_short | On polarized scattering equations for superamplitudes of 11D supergravity and ambitwistor superstring |
| title_sort | on polarized scattering equations for superamplitudes of 11d supergravity and ambitwistor superstring |
| topic | Field Theories in Higher Dimensions Scattering Amplitudes Supergravity Models Supersymmetric Gauge Theory |
| url | http://link.springer.com/article/10.1007/JHEP11(2019)087 |
| work_keys_str_mv | AT igorbandos onpolarizedscatteringequationsforsuperamplitudesof11dsupergravityandambitwistorsuperstring |