Deformed ₁₊∞ Algebras in the Celestial CFT

We compute the modification of the ₁₊∞ algebra of soft graviton, gluon, and scalar currents in the celestial CFT due to non-minimal couplings. We find that the Jacobi identity is satisfied only when the spectrum and couplings of the theory obey certain constraints. We comment on the similarities and...

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Veröffentlicht in:Symmetry, Integrability and Geometry: Methods and Applications
Datum:2023
Hauptverfasser: Mago, Jorge, Ren, Lecheng, Yelleshpur Srikant, Akshay, Volovich, Anastasia
Format: Artikel
Sprache:Englisch
Veröffentlicht: Інститут математики НАН України 2023
Online Zugang:https://nasplib.isofts.kiev.ua/handle/123456789/211987
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Zitieren:Deformed ₁₊∞ Algebras in the Celestial CFT. Jorge Mago, Lecheng Ren, Akshay Yelleshpur Srikant and Anastasia Volovich. SIGMA 19 (2023), 044, 18 pages

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
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author Mago, Jorge
Ren, Lecheng
Yelleshpur Srikant, Akshay
Volovich, Anastasia
author_facet Mago, Jorge
Ren, Lecheng
Yelleshpur Srikant, Akshay
Volovich, Anastasia
citation_txt Deformed ₁₊∞ Algebras in the Celestial CFT. Jorge Mago, Lecheng Ren, Akshay Yelleshpur Srikant and Anastasia Volovich. SIGMA 19 (2023), 044, 18 pages
collection DSpace DC
container_title Symmetry, Integrability and Geometry: Methods and Applications
description We compute the modification of the ₁₊∞ algebra of soft graviton, gluon, and scalar currents in the celestial CFT due to non-minimal couplings. We find that the Jacobi identity is satisfied only when the spectrum and couplings of the theory obey certain constraints. We comment on the similarities and essential differences between this algebra and ₁₊∞.
first_indexed 2026-03-18T18:20:31Z
format Article
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id nasplib_isofts_kiev_ua-123456789-211987
institution Digital Library of Periodicals of National Academy of Sciences of Ukraine
issn 1815-0659
language English
last_indexed 2026-03-18T18:20:31Z
publishDate 2023
publisher Інститут математики НАН України
record_format dspace
spelling Mago, Jorge
Ren, Lecheng
Yelleshpur Srikant, Akshay
Volovich, Anastasia
2026-01-20T16:14:44Z
2023
Deformed ₁₊∞ Algebras in the Celestial CFT. Jorge Mago, Lecheng Ren, Akshay Yelleshpur Srikant and Anastasia Volovich. SIGMA 19 (2023), 044, 18 pages
1815-0659
2020 Mathematics Subject Classification: 81T35
arXiv:2111.11356
https://nasplib.isofts.kiev.ua/handle/123456789/211987
https://doi.org/10.3842/SIGMA.2023.044
We compute the modification of the ₁₊∞ algebra of soft graviton, gluon, and scalar currents in the celestial CFT due to non-minimal couplings. We find that the Jacobi identity is satisfied only when the spectrum and couplings of the theory obey certain constraints. We comment on the similarities and essential differences between this algebra and ₁₊∞.
We are grateful to Yangrui Hu, Luke Lippstreu, Marcus Spradlin, and Andy Strominger for useful comments and discussion. This work was supported in part by the US Department of Energy under contract DE-SC0010010 Task A and by a Simons Investigator Award #376208.
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Інститут математики НАН України
Symmetry, Integrability and Geometry: Methods and Applications
Deformed ₁₊∞ Algebras in the Celestial CFT
Article
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spellingShingle Deformed ₁₊∞ Algebras in the Celestial CFT
Mago, Jorge
Ren, Lecheng
Yelleshpur Srikant, Akshay
Volovich, Anastasia
title Deformed ₁₊∞ Algebras in the Celestial CFT
title_full Deformed ₁₊∞ Algebras in the Celestial CFT
title_fullStr Deformed ₁₊∞ Algebras in the Celestial CFT
title_full_unstemmed Deformed ₁₊∞ Algebras in the Celestial CFT
title_short Deformed ₁₊∞ Algebras in the Celestial CFT
title_sort deformed ₁₊∞ algebras in the celestial cft
url https://nasplib.isofts.kiev.ua/handle/123456789/211987
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AT renlecheng deformed1algebrasinthecelestialcft
AT yelleshpursrikantakshay deformed1algebrasinthecelestialcft
AT volovichanastasia deformed1algebrasinthecelestialcft