### D’Auria-Fré-Formulation of Supergravity

#### Posted by Urs Schreiber

Recently John Huerta asked me about some things I once said in the context of discussion such as in the entry SuGra 3-Connection Reloaded.

I had had only time for a brief reply by email. But since this deserves a comprehensive discussion, I have now started typing what I have to say into an $n$Lab entry:

D’Auria-Fré formulation of supergravity (with an eye towards higher nonabelian gauge theory)

This, too, remains unfinished for the moment, since I have to run now to a seminar. But it already may contain some details that might be of interest.

When I am back and have a minute to spare, I would like to discuss with anyone who feels like replying in more detail the issue of rheonomy (and, for a start, give a review of this concept at the $n$Lab page). But this has to wait a bit.

Posted at September 30, 2009 3:07 PM UTC
## Re: D’Auria-Fré-Formulation of Supergravity

Thanks for posting this. I’ve been thinking it would be fun if John Huerta could do some work on these issues in his thesis. But it looks like you’ve done a lot of the really fundamental work already. So, I’m trying to think of something else to do.

One thing John and I might contribute is a better understanding of how properties of normed division algebras give rise to nontrivial cocycles on certain super-Poincaré algebras, and thus Lie super-$n$-algebras. We have a lot of ideas here.

Any other ideas?