String Reparametrizations and the Geometry of Path Space
Ninoslav E. Bralić · Progress of Theoretical Physics Supplement · 1986
The configuration space of parametrized Bosonic strings is studied from a geometrical stand. It is shown to be a well behaved infinite dimensional manifold where reparametrizations of the string can act as global or as local transformations. In either case reparametrization invariance can be implemented geometrically by making the manifold isometric under these transformations. The formalism is independent of the space time background metric. Its implications for gauge invariant formulations of string field theory are briefly discussed.