Consistent truncation with dilatino condensation on nearly K\"ahler and Calabi-Yau manifolds

摘要: We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly Kahler spaces in the presence dilatino condensates. The is universal, i.e. it does not depend any detailed features compactification manifold other than its property, and admits smooth limit to universal Calabi-Yau spaces. theory formal solutions with nonvanishing condensates, form $S^{1,3}\times M_6$, where $M_6$ six-dimensional or manifold, $S^{1,3}$ can be de Sitter, Minkowski anti-de Sitter four-dimensional space.