Consistent truncation with dilatino condensation on nearly Kähler and Calabi-Yau manifolds
Résumé
We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly Kähler 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 Kähler 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 Kähler or Calabi-Yau manifold, and S$^{1,3}$ can be de Sitter, Minkowski or anti-de Sitter four-dimensional space.