Deformed $$w_{1+\infty}$$ Algebras in the Celestial CFT

Journal Article · Tue Jul 04 00:00:00 EDT 2023 · Symmetry, Integrability and Geometry: Methods and Applications

DOI:https://doi.org/10.3842/sigma.2023.044· OSTI ID:2419980

Mago, Jorge ^[1]; Ren, Lecheng ^[2]; Yelleshpur Srikant, Akshay ^[2]; Volovich, Anastasia ^[2]

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1. Brown Univ., Providence, RI (United States); Brown Univ., Providence, RI (United States)
2. Brown Univ., Providence, RI (United States)

We compute the modification of the w_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 of this algebra to W_1+∞.

• Research Organization: Brown Univ., Providence, RI (United States); Brown University, Providence, RI (United States)
• Sponsoring Organization: USDOE Office of Science (SC); USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: SC0010010
• OSTI ID: 2419980
• Alternate ID(s): OSTI ID: 2570473
• Journal Information: Symmetry, Integrability and Geometry: Methods and Applications, Journal Name: Symmetry, Integrability and Geometry: Methods and Applications Vol. 19; ISSN 1815-0659
• Publisher: Institute of Mathematics, National Academy of Sciences Ukraine
• Country of Publication: United States
• Language: English

Related Subjects

97 MATHEMATICS AND COMPUTING
Algebra
CFT
Celestial holography
Commutator
Current
Gluon
Graviton
Jacobi identity
Mathematics
OPE
Physics
W-infinity