Abstract
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 S1,3 × M6, where M6 is a six-dimensional nearly Kähler or Calabi-Yau manifold, and S1,3 can be de Sitter, Minkowski or anti-de Sitter four-dimensional space.
Highlights
In the present paper we will use the latter approach to construct a CT of ten-dimensional IIA supergravity on nearly Kahler (NK) spaces in the presence of dilatino condensates
We construct a consistent four-scalar truncation of ten-dimensional IIA supergravity on nearly Kahler spaces in the presence of dilatino condensates
The authors of [42] proved the consistency of [46] by showing that it coincides with the G2-invariant subsector of the N = 8 ISO(7) dyonic supergravity arising from a consistent truncation of IIA on S6
Summary
In a maximally-invariant vacuum of the theory, all fermion vacuum expectation values (VEV) are assumed to vanish, but quadratic or quartic fermion terms may still develop nonvanishing VEV’s. Seff may develop nonvanishing VEV’s for the quadratic and quartic fermion terms. In the following we will look in particular for dilatonic solutions, i.e. for solutions of the dilatino-condensate action of [12]. This is obtained from the IIA supergravity action by setting the Einstein-frame gravitino to zero. The quadratic and quartic dilatino terms in the action should be thought of as replaced by their condensate VEV’s, and become (constant) parameters of the action. In [12] the fermionic terms of IIA supergravity were determined in the ten-dimensional superspace formalism previously developed in [54], resolving an ambiguity in the original literature [55,56,57] concerning the quartic fermions, and finding agreement with [55].
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