Supergravity and Kaluza-Klein dimensional reductions

This is a 15 credit project in basic supergravity. We start with the supersymmetry algebra to formulate the relation between fermions and bosons. This project also contains Kaluza-Klein dimensional reduction on a circle. We then continue with supergravity theory where we show that it is invariant under supersymmetry transformations, it contains both D=4, N=1 and D=11 N=1 supergravity theories. We also do a toroidal compactification of the eleven-dimensional supergravity