Consistent truncation with dilatino condensation on nearly K?hler and Calabi-Yau manifolds

摘要

A bstract We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly K?hler spaces in the presence of dilatino condensates. The truncation is universal, i.e. it does not depend on any detailed features of the compactification manifold other than its nearly K?hler property, and admits a smooth limit to a universal four-scalar consistent truncation on Calabi-Yau spaces. The theory admits formal solutions with nonvanishing condensates, of the form S _(1,3)× M ~(6), where M ~(6)is a six-dimensional nearly K?hler or Calabi-Yau manifold, and S _(1,3)can be de Sitter, Minkowski or anti-de Sitter four-dimensional space.