A new twist on spinning (A)dS correlators
Abstract Massless spinning correlators in cosmology are extremely complicated. In contrast, the scattering amplitudes of massless particles with spin are very simple. We propose that the reason for the unreasonable complexity of these correlators lies in the use of inconvenient kinematic variables....
Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2025-01-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP01(2025)202 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1823863454924013568 |
|---|---|
| author | Daniel Baumann Grégoire Mathys Guilherme L. Pimentel Facundo Rost |
| author_facet | Daniel Baumann Grégoire Mathys Guilherme L. Pimentel Facundo Rost |
| author_sort | Daniel Baumann |
| collection | DOAJ |
| description | Abstract Massless spinning correlators in cosmology are extremely complicated. In contrast, the scattering amplitudes of massless particles with spin are very simple. We propose that the reason for the unreasonable complexity of these correlators lies in the use of inconvenient kinematic variables. For example, in de Sitter space, consistency with unitarity and the background isometries imply that the correlators must be conformally covariant and also conserved. However, the commonly used kinematic variables for correlators do not make all of these properties manifest. In this paper, we introduce twistor space as a powerful way to satisfy all kinematic constraints. We show that conformal correlators of conserved currents can be written as twistor integrals, where the conservation condition translates into holomorphicity of the integrand. The functional form of the twistor-space correlators is very simple and easily bootstrapped. For the case of two- and three-point functions, we verify explicitly that this reproduces known results in embedding space. We also perform a half-Fourier transform of the twistor-space correlators to obtain their counterparts in momentum space. We conclude that twistors provide a promising new avenue to study conformal correlation functions that exposes their hidden simplicity. |
| format | Article |
| id | doaj-art-1ecc0250fb764306abbe0e1eb2af9694 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-1ecc0250fb764306abbe0e1eb2af96942025-02-09T12:07:15ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025116010.1007/JHEP01(2025)202A new twist on spinning (A)dS correlatorsDaniel Baumann0Grégoire Mathys1Guilherme L. Pimentel2Facundo Rost3Leung Center for Cosmology and Particle AstrophysicsInstitute of Physics, Ecole Polytechnique Fédéral de LausanneScuola Normale Superiore and INFNLeung Center for Cosmology and Particle AstrophysicsAbstract Massless spinning correlators in cosmology are extremely complicated. In contrast, the scattering amplitudes of massless particles with spin are very simple. We propose that the reason for the unreasonable complexity of these correlators lies in the use of inconvenient kinematic variables. For example, in de Sitter space, consistency with unitarity and the background isometries imply that the correlators must be conformally covariant and also conserved. However, the commonly used kinematic variables for correlators do not make all of these properties manifest. In this paper, we introduce twistor space as a powerful way to satisfy all kinematic constraints. We show that conformal correlators of conserved currents can be written as twistor integrals, where the conservation condition translates into holomorphicity of the integrand. The functional form of the twistor-space correlators is very simple and easily bootstrapped. For the case of two- and three-point functions, we verify explicitly that this reproduces known results in embedding space. We also perform a half-Fourier transform of the twistor-space correlators to obtain their counterparts in momentum space. We conclude that twistors provide a promising new avenue to study conformal correlation functions that exposes their hidden simplicity.https://doi.org/10.1007/JHEP01(2025)202de Sitter spaceScale and Conformal SymmetriesScattering Amplitudes |
| spellingShingle | Daniel Baumann Grégoire Mathys Guilherme L. Pimentel Facundo Rost A new twist on spinning (A)dS correlators Journal of High Energy Physics de Sitter space Scale and Conformal Symmetries Scattering Amplitudes |
| title | A new twist on spinning (A)dS correlators |
| title_full | A new twist on spinning (A)dS correlators |
| title_fullStr | A new twist on spinning (A)dS correlators |
| title_full_unstemmed | A new twist on spinning (A)dS correlators |
| title_short | A new twist on spinning (A)dS correlators |
| title_sort | new twist on spinning a ds correlators |
| topic | de Sitter space Scale and Conformal Symmetries Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP01(2025)202 |
| work_keys_str_mv | AT danielbaumann anewtwistonspinningadscorrelators AT gregoiremathys anewtwistonspinningadscorrelators AT guilhermelpimentel anewtwistonspinningadscorrelators AT facundorost anewtwistonspinningadscorrelators AT danielbaumann newtwistonspinningadscorrelators AT gregoiremathys newtwistonspinningadscorrelators AT guilhermelpimentel newtwistonspinningadscorrelators AT facundorost newtwistonspinningadscorrelators |