Conformal field theories in six-dimensional twistor space |
| |
Authors: | LJ Mason RA Reid-Edwards A Taghavi-Chabert |
| |
Institution: | 1. The Mathematical Institute, 24-29 St. Giles, Oxford OX1 3LB, UK;2. Masaryk University, Faculty of Science, Department of Mathematics and Statistics, Kotlá?ská 2, 611 37 Brno, Czech Republic |
| |
Abstract: | This article gives a study of the higher-dimensional Penrose transform between conformally invariant massless fields on space–time and cohomology classes on twistor space, where twistor space is defined to be the space of projective pure spinors of the conformal group. We focus on the six-dimensional case in which twistor space is the 6-quadric Q in CP7 with a view to applications to the self-dual (0,2)-theory. We show how spinor-helicity momentum eigenstates have canonically defined distributional representatives on twistor space (a story that we extend to arbitrary dimension). These yield an elementary proof of the surjectivity of the Penrose transform. We give a direct construction of the twistor transform between the two different representations of massless fields on twistor space (H2 and H3) in which the H3s arise as obstructions to extending the H2s off Q into CP7. |
| |
Keywords: | Conformal field theory Twistor theory Penrose transform Integral transforms |
本文献已被 ScienceDirect 等数据库收录! |
|