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Ways around the Coleman-Mandula theorem?

ajb
in Modern and Theoretical Physics

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The Coleman-Mandula theorem explicitly uses Lie algebras to describe the symmetries of S-matrices. One way round this is to pass to super Lie algebras, as is very well-known.

 

Less well known is the idea that we could use quantum groups (Hopf algebras) to get around the theorem.

 

My question is: Can we use Groupoids and Lie algebroids to find a loop-hole in the Coleman-Mandula theorem?

 

I cannot find anything in the literature? (This may mean we cannot use them in this way) Anyone come across any work along these lines?

 

Cheers.

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