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Introduction to Strings and Branes by Peter West

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13 Supergravity theories in four, ten and eleven dimensions

 

 

 

 

I was at first almost frightened when I saw such mathematical force made to bear upon the subject, and then wondered to see the subject stood it so well.

Faraday

We take a supergravity theory to be one that has some supersymmetry and contains gravity, but no higher spin fields. In ten and eleven dimensions, there exist only four supergravity theories which are distinguished by their different underlying supersymmetry algebras. The types of spinor one can have in different dimensions was studied in chapter 5 and it is key to understanding the different possible supersymmetry algebras. In turn, the number of components of the supercharge determines the number of degrees of freedom ...

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