تقرير
Celestial amplitudes in an ambidextrous basis
| العنوان: | Celestial amplitudes in an ambidextrous basis |
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| المؤلفون: | Jorge-Diaz, Carmen, Pasterski, Sabrina, Sharma, Atul |
| سنة النشر: | 2022 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | We start by constructing a conformally covariant improvement of the celestial light transform which keeps track of the mixing between incoming and outgoing states under finite Lorentz transformations in $\mathbb{R}^{2,2}$. We then compute generic 2, 3 and 4-point celestial amplitudes for massless external states in the ambidextrous basis prepared by composing this $\mathrm{SL}(2,\mathbb{R})$ intertwiner with the usual celestial map between momentum and boost eigenstates. The results are non-distributional in the celestial coordinates $(z,\bar{z})$ and conformally covariant in all scattering channels. Finally, we focus on the tree level 4-gluon amplitude where we present a streamlined route to the ambidextrous correlator based on Grassmannian formulae and examine its alpha space representation. In the process, we gain insights into the operator dictionary and CFT data of the holographic dual. Comment: 55 pages, 3 figures |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP02(2023)155 |
| URL الوصول: | http://arxiv.org/abs/2212.00962 |
| رقم الأكسشن: | edsarx.2212.00962 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP02(2023)155 |
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