Celestial diamonds: conformal multiplets in celestial CFT

Abstract We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0 1 2 1 3 2 2 $$ \left\{0,\frac{1}{2},1,\frac{3}{2},2\right\} $$ we classify and construct all SL(2,ℂ) primary descendants which are organized into ‘ce...

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Autores principales:	Sabrina Pasterski, Andrea Puhm, Emilio Trevisani
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	Gauge-gravity correspondence Scattering Amplitudes Space-Time Symmetries Spontaneous Symmetry Breaking Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/59d4685906d744059dbeecab772127bd
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spelling	oai:doaj.org-article:59d4685906d744059dbeecab772127bd2021-11-14T12:40:39ZCelestial diamonds: conformal multiplets in celestial CFT10.1007/JHEP11(2021)0721029-8479https://doaj.org/article/59d4685906d744059dbeecab772127bd2021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)072https://doaj.org/toc/1029-8479Abstract We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0 1 2 1 3 2 2 $$ \left\{0,\frac{1}{2},1,\frac{3}{2},2\right\} $$ we classify and construct all SL(2,ℂ) primary descendants which are organized into ‘celestial diamonds’. This explicit construction is achieved using a wavefunction-based approach that allows us to map 4D scattering amplitudes to celestial CFT correlators of operators with SL(2,ℂ) conformal dimension ∆ and spin J. Radiative conformal primary wavefunctions have J = ±s and give rise to conformally soft theorems for special values of ∆ ∈ 1 2 ℤ $$ \frac{1}{2}\mathbb{Z} $$ . They are located either at the top of celestial diamonds, where they descend to trivial null primaries, or at the left and right corners, where they descend both to and from generalized conformal primary wavefunctions which have \|J\| ≤ s. Celestial diamonds naturally incorporate degeneracies of opposite helicity particles via the 2D shadow transform relating radiative primaries and account for the global and asymptotic symmetries in gauge theory and gravity.Sabrina PasterskiAndrea PuhmEmilio TrevisaniSpringerOpenarticleGauge-gravity correspondenceScattering AmplitudesSpace-Time SymmetriesSpontaneous Symmetry BreakingNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-54 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Gauge-gravity correspondence Scattering Amplitudes Space-Time Symmetries Spontaneous Symmetry Breaking Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Gauge-gravity correspondence Scattering Amplitudes Space-Time Symmetries Spontaneous Symmetry Breaking Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Sabrina Pasterski Andrea Puhm Emilio Trevisani Celestial diamonds: conformal multiplets in celestial CFT
description	Abstract We examine the structure of global conformal multiplets in 2D celestial CFT. For a 4D bulk theory containing massless particles of spin s = 0 1 2 1 3 2 2 $$ \left\{0,\frac{1}{2},1,\frac{3}{2},2\right\} $$ we classify and construct all SL(2,ℂ) primary descendants which are organized into ‘celestial diamonds’. This explicit construction is achieved using a wavefunction-based approach that allows us to map 4D scattering amplitudes to celestial CFT correlators of operators with SL(2,ℂ) conformal dimension ∆ and spin J. Radiative conformal primary wavefunctions have J = ±s and give rise to conformally soft theorems for special values of ∆ ∈ 1 2 ℤ $$ \frac{1}{2}\mathbb{Z} $$ . They are located either at the top of celestial diamonds, where they descend to trivial null primaries, or at the left and right corners, where they descend both to and from generalized conformal primary wavefunctions which have \|J\| ≤ s. Celestial diamonds naturally incorporate degeneracies of opposite helicity particles via the 2D shadow transform relating radiative primaries and account for the global and asymptotic symmetries in gauge theory and gravity.
format	article
author	Sabrina Pasterski Andrea Puhm Emilio Trevisani
author_facet	Sabrina Pasterski Andrea Puhm Emilio Trevisani
author_sort	Sabrina Pasterski
title	Celestial diamonds: conformal multiplets in celestial CFT
title_short	Celestial diamonds: conformal multiplets in celestial CFT
title_full	Celestial diamonds: conformal multiplets in celestial CFT
title_fullStr	Celestial diamonds: conformal multiplets in celestial CFT
title_full_unstemmed	Celestial diamonds: conformal multiplets in celestial CFT
title_sort	celestial diamonds: conformal multiplets in celestial cft
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/59d4685906d744059dbeecab772127bd
work_keys_str_mv	AT sabrinapasterski celestialdiamondsconformalmultipletsincelestialcft AT andreapuhm celestialdiamondsconformalmultipletsincelestialcft AT emiliotrevisani celestialdiamondsconformalmultipletsincelestialcft
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Celestial diamonds: conformal multiplets in celestial CFT

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