Revisiting the conformally soft sector with celestial diamonds
Abstract Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators appearing at their left and right corners give rise to conformally soft factorization theorems, the bottom corner...
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oai:doaj.org-article:664b2af36c204d3097483ff6ba67e4842021-11-21T12:40:48ZRevisiting the conformally soft sector with celestial diamonds10.1007/JHEP11(2021)1431029-8479https://doaj.org/article/664b2af36c204d3097483ff6ba67e4842021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)143https://doaj.org/toc/1029-8479Abstract Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators appearing at their left and right corners give rise to conformally soft factorization theorems, the bottom corners correspond to conserved charges, and the top corners to conformal dressings. We show that conformally soft charges can be expressed in terms of light ray integrals that select modes of the appropriate conformal weights. They reside at the bottom corners of memory diamonds, and ascend to generalized currents. We then identify the top corners of the associated Goldstone diamonds with conformal Faddeev-Kulish dressings and compute the sub-leading conformally soft dressings in gauge theory and gravity which are important for finding nontrivial central extensions. Finally, we combine these ingredients to speculate on 2D effective descriptions for the conformally soft sector of celestial CFT.Sabrina PasterskiAndrea PuhmEmilio TrevisaniSpringerOpenarticleConformal Field TheorySpace-Time SymmetriesScattering AmplitudesGauge-gravity correspondenceNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-31 (2021) |
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Conformal Field Theory Space-Time Symmetries Scattering Amplitudes Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 |
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Conformal Field Theory Space-Time Symmetries Scattering Amplitudes Gauge-gravity correspondence Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Sabrina Pasterski Andrea Puhm Emilio Trevisani Revisiting the conformally soft sector with celestial diamonds |
description |
Abstract Celestial diamonds encode the structure of global conformal multiplets in 2D celestial CFT and offer a natural language for describing the conformally soft sector. The operators appearing at their left and right corners give rise to conformally soft factorization theorems, the bottom corners correspond to conserved charges, and the top corners to conformal dressings. We show that conformally soft charges can be expressed in terms of light ray integrals that select modes of the appropriate conformal weights. They reside at the bottom corners of memory diamonds, and ascend to generalized currents. We then identify the top corners of the associated Goldstone diamonds with conformal Faddeev-Kulish dressings and compute the sub-leading conformally soft dressings in gauge theory and gravity which are important for finding nontrivial central extensions. Finally, we combine these ingredients to speculate on 2D effective descriptions for the conformally soft sector of celestial CFT. |
format |
article |
author |
Sabrina Pasterski Andrea Puhm Emilio Trevisani |
author_facet |
Sabrina Pasterski Andrea Puhm Emilio Trevisani |
author_sort |
Sabrina Pasterski |
title |
Revisiting the conformally soft sector with celestial diamonds |
title_short |
Revisiting the conformally soft sector with celestial diamonds |
title_full |
Revisiting the conformally soft sector with celestial diamonds |
title_fullStr |
Revisiting the conformally soft sector with celestial diamonds |
title_full_unstemmed |
Revisiting the conformally soft sector with celestial diamonds |
title_sort |
revisiting the conformally soft sector with celestial diamonds |
publisher |
SpringerOpen |
publishDate |
2021 |
url |
https://doaj.org/article/664b2af36c204d3097483ff6ba67e484 |
work_keys_str_mv |
AT sabrinapasterski revisitingtheconformallysoftsectorwithcelestialdiamonds AT andreapuhm revisitingtheconformallysoftsectorwithcelestialdiamonds AT emiliotrevisani revisitingtheconformallysoftsectorwithcelestialdiamonds |
_version_ |
1718418887461044224 |