Posted: Aug 04, 2010 8:06 am
twistor59 wrote:...
So is it your understanding that our favourite gauge groups, like SU3xSU2XU1, are embedded in E8xE8 (taking that example) and that the E8xE8 is somehow something to do with the CY space ?
My understanding is that all (mathematical) groups are embedded in E8 – but I couldn't prove this in an exam.
Products (associative, non-commutative, wedge & smash) of various groups give rise to descriptions of phenomena we observe (like spin, scattering amplitudes and Dirac's anti-matter). My understanding of Calabi-Yau is that the manifold structure (e.g. the number of holes it has) depends on the dimension count and any 'holes' are mapped to particles. I could easily be way off the mark here tho'. 
a 3D cross section of the quintic 6D Calabi-Yau Manifold proposed for String Theory
From Paul Nylander's archives.
I look forward to reading Hacker's account in due course...
