The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry

Abstract The genus zero contribution to the four-point correlator O p 1 O p 2 O p 3 O p 4 $$ \left\langle {\mathcal{O}}_{p_1}{\mathcal{O}}_{p_2}{\mathcal{O}}_{p_3}{\mathcal{O}}_{p_4}\right\rangle $$ of half-BPS single-particle operators O p $$ {\mathcal{O}}_p $$ in N $$ \mathcal{N} $$ = 4 super Yang...

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Autores principales:	F. Aprile, J. M. Drummond, H. Paul, M. Santagata
Formato:	article
Lenguaje:	EN
Publicado:	SpringerOpen 2021
Materias:	1/N Expansion AdS-CFT Correspondence Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/d64d7282ecf94797b61226c834d43752
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spelling	oai:doaj.org-article:d64d7282ecf94797b61226c834d437522021-11-21T12:41:22ZThe Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry10.1007/JHEP11(2021)1091029-8479https://doaj.org/article/d64d7282ecf94797b61226c834d437522021-11-01T00:00:00Zhttps://doi.org/10.1007/JHEP11(2021)109https://doaj.org/toc/1029-8479Abstract The genus zero contribution to the four-point correlator O p 1 O p 2 O p 3 O p 4 $$ \left\langle {\mathcal{O}}_{p_1}{\mathcal{O}}_{p_2}{\mathcal{O}}_{p_3}{\mathcal{O}}_{p_4}\right\rangle $$ of half-BPS single-particle operators O p $$ {\mathcal{O}}_p $$ in N $$ \mathcal{N} $$ = 4 super Yang-Mills, at strong coupling, computes the Virasoro-Shapiro amplitude of closed superstrings in AdS 5 × S 5. Combining Mellin space techniques, the large p limit, and data about the spectrum of two-particle operators at tree level in supergravity, we design a bootstrap algorithm which heavily constrains its α′ expansion. We use crossing symmetry, polynomiality in the Mellin variables and the large p limit to stratify the Virasoro-Shapiro amplitude away from the ten-dimensional flat space limit. Then we analyse the spectrum of exchanged two-particle operators at fixed order in the α′ expansion. We impose that the ten-dimensional spin of the spectrum visible at that order is bounded above in the same way as in the flat space amplitude. This constraint determines the Virasoro-Shapiro amplitude in AdS 5 × S 5 up to a small number of ambiguities at each order. We compute it explicitly for (α′)5,6,7,8,9. As the order of α′ grows, the ten dimensional spin grows, and the set of visible two-particle operators opens up. Operators illuminated for the first time receive a string correction to their anomalous dimensions which is uniquely determined and lifts the residual degeneracy of tree level supergravity, due to ten-dimensional conformal symmetry. We encode the lifting of the residual degeneracy in a characteristic polynomial. This object carries information about all orders in α′. It is analytic in the quantum numbers, symmetric under an AdS 5 ↔ S 5 exchange, and it enjoys intriguing properties, which we explain and detail in various cases.F. AprileJ. M. DrummondH. PaulM. SantagataSpringerOpenarticle1/N ExpansionAdS-CFT CorrespondenceScattering AmplitudesNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENJournal of High Energy Physics, Vol 2021, Iss 11, Pp 1-64 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	1/N Expansion AdS-CFT Correspondence Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	1/N Expansion AdS-CFT Correspondence Scattering Amplitudes Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 F. Aprile J. M. Drummond H. Paul M. Santagata The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry
description	Abstract The genus zero contribution to the four-point correlator O p 1 O p 2 O p 3 O p 4 $$ \left\langle {\mathcal{O}}_{p_1}{\mathcal{O}}_{p_2}{\mathcal{O}}_{p_3}{\mathcal{O}}_{p_4}\right\rangle $$ of half-BPS single-particle operators O p $$ {\mathcal{O}}_p $$ in N $$ \mathcal{N} $$ = 4 super Yang-Mills, at strong coupling, computes the Virasoro-Shapiro amplitude of closed superstrings in AdS 5 × S 5. Combining Mellin space techniques, the large p limit, and data about the spectrum of two-particle operators at tree level in supergravity, we design a bootstrap algorithm which heavily constrains its α′ expansion. We use crossing symmetry, polynomiality in the Mellin variables and the large p limit to stratify the Virasoro-Shapiro amplitude away from the ten-dimensional flat space limit. Then we analyse the spectrum of exchanged two-particle operators at fixed order in the α′ expansion. We impose that the ten-dimensional spin of the spectrum visible at that order is bounded above in the same way as in the flat space amplitude. This constraint determines the Virasoro-Shapiro amplitude in AdS 5 × S 5 up to a small number of ambiguities at each order. We compute it explicitly for (α′)5,6,7,8,9. As the order of α′ grows, the ten dimensional spin grows, and the set of visible two-particle operators opens up. Operators illuminated for the first time receive a string correction to their anomalous dimensions which is uniquely determined and lifts the residual degeneracy of tree level supergravity, due to ten-dimensional conformal symmetry. We encode the lifting of the residual degeneracy in a characteristic polynomial. This object carries information about all orders in α′. It is analytic in the quantum numbers, symmetric under an AdS 5 ↔ S 5 exchange, and it enjoys intriguing properties, which we explain and detail in various cases.
format	article
author	F. Aprile J. M. Drummond H. Paul M. Santagata
author_facet	F. Aprile J. M. Drummond H. Paul M. Santagata
author_sort	F. Aprile
title	The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry
title_short	The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry
title_full	The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry
title_fullStr	The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry
title_full_unstemmed	The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry
title_sort	virasoro-shapiro amplitude in ads5 × s5 and level splitting of 10d conformal symmetry
publisher	SpringerOpen
publishDate	2021
url	https://doaj.org/article/d64d7282ecf94797b61226c834d43752
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The Virasoro-Shapiro amplitude in AdS5 × S5 and level splitting of 10d conformal symmetry

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