Weyl covariance, and proposals for superconformal prepotentials in 10D superspaces

Abstract

Abstract Proposals are made to describe the Weyl scaling transformation laws of supercovariant derivatives ∇ A , the torsion supertensors T AB C , and curvature supertensors R ABc d in 10D superspaces. Starting from the proposal that an unconstrained supergravity prepotential for the 11D, N $$ \mathcal{N} $$ = 1 theory is described by a scalar superfield, considerations for supergravity prepotentials in the 10D theories are enumerated. We derive infinitesimal 10D superspace Weyl transformation laws and discover ten possible 10D, N $$ \mathcal{N} $$ = 1 superfield supergravity prepotentials. The first identification of all off-shell ten dimensional supergeometrical Weyl field strength tensors, constructed from respective torsions, is presented.

Keywords

• Supergravity Models
• Superspaces