Abstract
We analyse type IIA Calabi-Yau orientifolds with background fluxes, taking into account the effect of perturbative α′-corrections. In particular, we consider the α′ corrections that modify the metrics in the Kähler sector of the compactification. As it has been argued in the literature, including such α′-corrections allows to construct the mirror duals of type IIB Calabi-Yau flux compactifications, in which the effect of flux backreaction is under control. We compute the α′-corrected scalar potential generated by the presence of RR and NS fluxes, and reformulate it as a bilinear of the flux-axion polynomials invariant under the discrete shift symmetries of the compactification. The use of such invariants allows to express in a compact and simple manner the conditions for Minkowski and AdS flux vacua, and to extract the effect of α′-corrections on them.
Highlights
Effective potential in terms of a flux-induced superpotential and the Kahler potential of the Calabi-Yau compactification, as it is standard practice in most of the flux literature
As in this paper we aim to describe flux vacua in which the flux backreaction can be neglected, we will neglect their potential effect on the Kahler metrics and assume that they only appear in the superpotential, as we describe
In this paper we have analysed type IIA orientifold flux vacua taking into account the effect of perturbative α -corrections in the Kahler sector
Summary
Type IIA flux compactifications offer a unique playground to extract symmetries and structures inherent to (a corner of) the perturbative string landscape To obtain these landscape properties, the top-down physicist starts from the (tree-level) ten-dimensional type IIA supergravity theory and compactifies it on a suitable background by choice, such as a three-dimensional Calabi-Yau (orientifold) background with internal fluxes. In light of recent results [36,37,38,39], it seems that such a formalism could be the reformulation of the scalar potential in terms of shift-invariant axion polynomials, which is the approach taken in this paper These considerations will be further clarified by this section, which summarises various well-known aspects of type IIA flux compactifications
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