Octahedron of complex null rays and conformal symmetry breaking

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Dunajski , M , Långvik , M & Speziale , S 2019 , ' Octahedron of complex null rays and conformal symmetry breaking ' , Physical Review D , vol. 99 , no. 10 , 104064 . https://doi.org/10.1103/PhysRevD.99.104064

Title: Octahedron of complex null rays and conformal symmetry breaking
Author: Dunajski, Maciej; Långvik, Miklos; Speziale, Simone
Contributor: University of Helsinki, Department of Physics
Date: 2019-05-28
Language: eng
Number of pages: 8
Belongs to series: Physical Review D
ISSN: 2470-0010
URI: http://hdl.handle.net/10138/303000
Abstract: We show how the manifold T*SU(2, 2) arises as a symplectic reduction from eight copies of the twistor space. Some of the constraints in the twistor space correspond to an octahedral configuration of 12 complex light rays in the Minkowski space. We discuss a mechanism to break the conformal symmetry down to the twistorial parametrization of T*SL(2, C) used in loop quantum gravity.
Subject: 115 Astronomy, Space science
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