Celestial 𝓌₁₊∞ Symmetries from Twistor Space

• Veröffentlicht in: Symmetry, Integrability and Geometry: Methods and Applications
• Datum: 2022
• Hauptverfasser: Adamo, Tim, Mason, Lionel, Sharma, Atul
• Format: Artikel
• Sprache: Englisch
• Veröffentlicht: Інститут математики НАН України 2022
• Online Zugang: https://nasplib.isofts.kiev.ua/handle/123456789/211529
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Zitieren: Celestial 𝓌₁₊∞ Symmetries from Twistor Space. Tim Adamo, Lionel Mason and Atul Sharma. SIGMA 18 (2022), 016, 23 pages

We explain how twistor theory represents the self-dual sector of four-dimensional gravity in terms of the loop group of Poisson diffeomorphisms of the plane via Penrose's non-linear graviton construction. The symmetries of the self-dual sector are generated by the corresponding loop algebra 𝐿𝓌₁...