# Structure of supermanifolds and supersymmetry transformations

Research paper by Ugo Bruzzo, Roberto Cianci

Indexed on: 01 Dec '84Published on: 01 Dec '84Published in: Communications in Mathematical Physics

#### Abstract

After giving a global, constraint-free Lagrangian formulation of theN=1 superspace supergravity in terms of super fibre bundles and differential forms over a supermanifold, we show that the concept of body manifold of a supermanifold provides a natural manner to reduce the theory to spacetime. This reduction, however, is not canonical, and the various ways in which it can be done give rise to transformations of the field variables which generalise the known invariances of theN=1 spacetime supergravity under supersymmetry transformations and spacetime diffeomorphisms.