Type IIA Flux Vacua and ${\alpha }^{\prime }$-corrections

Abstract

We analyse type IIA Calabi-Yau orientifolds with backgroud fluxes, taking into account the effect of perturbative ${\alpha }^{\prime }$-corrections. In particular, we consider the ${\alpha }^{\prime }$-corrections that modify the metrics in the Kähler sector of the compactification. As it has been argued in the literature, including such ${\alpha }^{\prime }$-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 ${\alpha }^{\prime }$-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 ${\alpha }^{\prime }$-corrections on them.

40 pages, typos corrected and references added

References in corpus (9)

• Flux Compactification
• Les Houches Lectures on Constructing String Vacua
• The Swampland Distance Conjecture for Kahler moduli
• Minkowski 3-forms, Flux String Vacua, Axion Stability and Naturalness
• Warping and Supersymmetry Breaking
• Warping the Kähler potential of F-theory/IIB flux compactifications
• Classes of AdS4 type IIA/IIB compactifications with SU(3)xSU(3) structure
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• Warped Kähler potentials and fluxes