Timeline for Subgroup structure of $\mathrm{SO}(1,n)_0$
Current License: CC BY-SA 2.5
5 events
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Mar 15, 2011 at 14:59 | comment | added | Tampopo | My interest in this comes from a novel constructive approach to quantum field theory on curved spacetimes. In arxiv.org/abs/1005.2656 the authors consider QFTs on Minkowski spacetime and use the action of the translation subgroup of the Poincare group to "deform" the theory. The whole procedure is similar to Rieffel deformations of $C^*$-algebras. So you can start with a free theory and end up with something interacting (but with a weakened form of locality). A natural question is whether other Abelian subgroups of the Lorentz group can be used to introduce interaction. | |
Mar 15, 2011 at 13:32 | comment | added | José Figueroa-O'Farrill | I'm glad this was useful. Can I ask why it is that you are interested in this? My interest in this lies in the classification of lorentzian homogeneous spaces with prescribed isometry, which is part of a long-term project on homogeneous supergravity backgrounds. | |
Mar 15, 2011 at 13:15 | vote | accept | Tampopo | ||
Mar 15, 2011 at 13:15 | comment | added | Tampopo | Great. I'm mostly interested in the de Sitter case n=4 and I guess this paper will do the job. Thanks! | |
Mar 15, 2011 at 13:12 | history | answered | José Figueroa-O'Farrill | CC BY-SA 2.5 |