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Chapitres

Twistor theory for LQG

De Michael Eastwood

Apparaît dans la collection : Twistors and Loops Meeting in Marseille / Théorie des twisteurs et gravitation quantique à boucles

Twistor Theory was proposed in the late 1960s by Roger Penrose as a potential geometric unification of general relativity and quantum mechanics. During the past 50 years, there have been many mathematical advances and achievements in twistor theory. In physics, however, there are aspirations yet to be realised. Twistor Theory and Loop Quantum Gravity (LQG) share a common background. Their aims are very much related. Is there more to it? This talk will sketch the geometry and symmetry behind twistor theory with the hope that links with LQG can be usefully strengthened. We believe there is something significant going on here: what could it be?

Informations sur la vidéo

Date de captation 02/09/2019
Date de publication 27/09/2019
Institut CIRM
Licence CC BY NC ND
Langue Anglais
Réalisateur(s) Guillaume Hennenfent
Format MP4

Données de citation

DOI 10.24350/CIRM.V.19559703
Citer cette vidéo Eastwood, Michael (02/09/2019). Twistor theory for LQG. CIRM. Audiovisual resource. DOI: 10.24350/CIRM.V.19559703
URL https://dx.doi.org/10.24350/CIRM.V.19559703

Domaine(s)

Géométrie différentielle

Bibliographie

PENROSE, Roger. The apparent shape of a relativistically moving sphere. In : Mathematical Proceedings of the Cambridge Philosophical Society. Cambridge University Press, 1959. p. 137-139. - https://doi.org/10.1017/S0305004100033776
PENROSE, Roger. Twistor algebra. Journal of Mathematical physics, 1967, vol. 8, no 2, p. 345-366. - https://doi.org/10.1063/1.1705200
WOLF, Joseph A. The action of a real semisimple group on a complex flag manifold. I: Orbit structure and holomorphic arc components. Bulletin of the American Mathematical Society, 1969, vol. 75, no 6, p. 1121-1237. - https://doi.org/10.1090/S0002-9904-1969-12359-1
BATEMAN, Harry. The solution of partial differential equations by means of definite integrals. Proceedings of the London Mathematical Society, 1904, vol. 2, no 1, p. 451-458. - https://doi.org/10.1112/plms/s2-1.1.451
PENROSE, Roger. Solutions of the Zero‐Rest‐Mass Equations. Journal of mathematical Physics, 1969, vol. 10, no 1, p. 38-39. - https://doi.org/10.1063/1.1664756
ANDREOTTI, Aldo et NORGUET, François. La convexité holomorphe dans l'espace analytique des cycles d'une variété algébrique. Annali della Scuola Normale Superiore di Pisa-Classe di Scienze, 1967, vol. 21, no 1, p. 31-82. - http://www.numdam.org/item/ASNSP_1967_3_21_1_31_0/
SCHMID, Wilfried. Homogeneous complex manifolds and representations of semisimple Lie groups. Proceedings of the National Academy of Sciences of the United States of America, 1968, vol. 59, no 1, p. 56. - https://doi.org/10.1073/pnas.59.1.56
PENROSE, Roger. The nonlinear graviton. General Relativity and Gravitation, 1976, vol. 7, no 2, p. 171-176. - https://doi.org/10.1007/BF00763433
CARTAN, Elie. Les espaces à connexion conforme. Annales de la Société Polonaise de Mathématique, 1923, vol.2, p. 171-221.
THOMAS, Tracy Yerkes. On conformal geometry. Proceedings of the National Academy of Sciences of the United States of America, 1926, vol. 12, no 5, p. 352. - https://doi.org/10.1073/pnas.12.5.352
FEFFERMAN, Charles. Parabolic invariant theory in complex analysis. Advances in Mathematics, 1979, vol. 31, no 2, p. 131-262. - https://doi.org/10.1016/0001-8708(79)90025-2
GRAHAM, C. Robin. Invariant theory of parabolic geometries. Lecture Notes in Pure and Appl. Math., 1993, vol. 143, p. 53-66. -

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