Timeline for How are the classifying space of $E_8$ and $K(\mathbb{Z},4)$ related?
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| Feb 4, 2012 at 12:56 | comment | added | Urs Schreiber | Concerning the physics interpretation, it is maybe useful to observe the analogy between, on the one hand, B E8 being equivalent to B^3 U(1) over 5-branes and controlling Horava-Witten, and on the other B PU(H) being equivalent to B^2 U(1) over D-branes, controlling Freed-Witten anomaly cancellation. There are some comments on this in section 4.3 of arxiv.org/abs/1201.5277 . | |
| Feb 4, 2012 at 12:51 | comment | added | Urs Schreiber | I think for (1) the original reference is Raoul Bott and H. Samelson, Application of the theory of Morse to symmetric spaces , Amer. J. Math., 80 (1958), 964-1029. See also ncatlab.org/nlab/show/E8#HomotopyGroupsReferences. | |
| Jan 19, 2011 at 22:50 | comment | added | Somnath Basu | Thanks for the reference (and the answer). I'll look it up! | |
| Jan 17, 2011 at 5:32 | history | edited | Aaron Bergman | CC BY-SA 2.5 |
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| Jan 17, 2011 at 5:04 | history | answered | Aaron Bergman | CC BY-SA 2.5 |