Celestial 𝓌₁₊∞ Symmetries from Twistor Space

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2022
• Автори: Adamo, Tim, Mason, Lionel, Sharma, Atul
• Формат: Стаття
• Мова: Англійська
• Опубліковано: Інститут математики НАН України 2022
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/211529
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: 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...