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Now I am working on the next chapter of “geometry of physics”: geometry of physics – supersymmetry.
A fair bit of material is in place now, but much is missing still. This here is mainly in case you are watching the logs and are wondering. At this point, if anyone has any edits to suggest (typo fixing or more substantial) maybe best to not touch the file yet but to tell me about it. Thanks!
Typos:
structres; a_symplectic Majorana representation_; \eta(v,v) = -(v^0)^2 + \underoverset{i = 1}^{d-1}{\sum} (v^{i})^2 ,; the the; hat v; cnjugation; A quaternionic structure, def. 1.12, o V;
Thanks! All fixed now.
Except for your item
quaternionic structure, def. 1.12
Here I am not sure. Do you mean where it points to def. 1.14 it needs to point to def. 1.12? In the places I see, 1.14 seems to be correct (quaternionic structure on a rep, as opposed to on just a vector space), but maybe I am missing what you mean to point to.
Thanks again.
Sorry, it was all one extract
A quaternionic structure, def. 1.12, o V
The ’o’ should be ’on’.
Ah, okay, that I have fixed. Thanks again.
I have been editing further at geometry of physics – supersymmetry. It’s taking shape.
Perhaps its better if I put typos here, since you tend to update from your version.
So
vectro; matricces; Loretz; govers
Oh, sorry. I need to find a way to handle this better.
But I just rolled back to your previous version and added my one-line addition to that (on how a symplectic Majorana spinor rep becomes a real rep)
I have expanded the page a little more: added more of a note on the pseudo-Majorana spinors, added defintion of internal and external automorphisms and of R-symmetries, and expanded the discussion of the maximal invariant central extensions of the superpoint a tad.
In the course I noticed that we were lacking an entry automorphism Lie algebra and automorphism Lie group, so I created them, just very briefly for the moment.
The file being used SpacetimeExtensions.png is still showing $8+8$ instead of $8+ \bar{8}$.
Thanks! Fixed now.
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