arXiv subjects
Publications and source records attributed to M. Villasante.
We describe the tensors and spinor-tensors included in the $θ$-expansion of the ten-dimensional chiral scalar superfield. The product decompositions of all the irreducible structures with $θ$ and the $θ^2$ tensor are provided as a first step towards the obtention of a full tensor calculus for the superfield.
We consider the compactification of the dual form of $N=1$ $D=10$ supergravity on a six-dimensional Calabi-Yau manifold. An $N=1$ off-shell supergravity effective Lagrangian in four dimensions can be constructed in a dual version of the gravitational sector (new-minimal supergravity form). Superspace duality has a simple interpretation in terms of Poincaré duality of two-form cohomology. The resulting $4D$ Lagrangian may describe the low-energy point-field limit of a five-brane theory, dual to string theory, provided Calabi-Yau spaces are consistent vacua of such dual theory.