The complex null string, Galilean conformal algebra and scattering equations
The scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a gauged-unfixed version of the ambitwistor string known as the null string. We explore the following three aspects...
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| Format: | Journal article |
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Springer Verlag
2017
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| _version_ | 1797086634414440448 |
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| author | Casali, E Herfray, Y Tourkine, P |
| author_facet | Casali, E Herfray, Y Tourkine, P |
| author_sort | Casali, E |
| collection | OXFORD |
| description | The scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a gauged-unfixed version of the ambitwistor string known as the null string. We explore the following three aspects in detail; its complexification, gauge fixing, and amplitudes. We first study the complexification of the string; the associated symmetries and moduli, and connection to the ambitwistor string. We then look in more details at the leftover symmetry algebra of the string, called Galilean conformal algebra; we study its local and global action and gauge-fixing. We finish by presenting an operator formalism, that we use to compute tree-level scattering amplitudes based on the scattering equations and a one-loop partition function. These results hopefully will open the way to understand conceptual questions related to the loop expansion in these twistor-like string models. |
| first_indexed | 2024-03-07T02:24:42Z |
| format | Journal article |
| id | oxford-uuid:a5314a69-30ac-42ef-a775-0c1ee644272f |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:24:42Z |
| publishDate | 2017 |
| publisher | Springer Verlag |
| record_format | dspace |
| spelling | oxford-uuid:a5314a69-30ac-42ef-a775-0c1ee644272f2022-03-27T02:38:43ZThe complex null string, Galilean conformal algebra and scattering equationsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a5314a69-30ac-42ef-a775-0c1ee644272fSymplectic Elements at OxfordSpringer Verlag2017Casali, EHerfray, YTourkine, PThe scattering equation formalism for scattering amplitudes, and its stringy incarnation, the ambitwistor string, remains a mysterious construction. In this paper, we pursue the study a gauged-unfixed version of the ambitwistor string known as the null string. We explore the following three aspects in detail; its complexification, gauge fixing, and amplitudes. We first study the complexification of the string; the associated symmetries and moduli, and connection to the ambitwistor string. We then look in more details at the leftover symmetry algebra of the string, called Galilean conformal algebra; we study its local and global action and gauge-fixing. We finish by presenting an operator formalism, that we use to compute tree-level scattering amplitudes based on the scattering equations and a one-loop partition function. These results hopefully will open the way to understand conceptual questions related to the loop expansion in these twistor-like string models. |
| spellingShingle | Casali, E Herfray, Y Tourkine, P The complex null string, Galilean conformal algebra and scattering equations |
| title | The complex null string, Galilean conformal algebra and scattering equations |
| title_full | The complex null string, Galilean conformal algebra and scattering equations |
| title_fullStr | The complex null string, Galilean conformal algebra and scattering equations |
| title_full_unstemmed | The complex null string, Galilean conformal algebra and scattering equations |
| title_short | The complex null string, Galilean conformal algebra and scattering equations |
| title_sort | complex null string galilean conformal algebra and scattering equations |
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