Type IIA flux vacua with mobile D6-branes and α '-corrections

• Autores: Dagoberto Escobar Atienzar
• Directores de la Tesis: Fernando G. Marchesano Buznego (dir. tes.), Wieland Thomas Rutger Staessens (dir. tes.)
• Lectura: En la Universidad Autónoma de Madrid ( España ) en 2019
• Idioma: inglés
• Número de páginas: 163
• Enlaces
  • Tesis en acceso abierto en: Biblos-e Archivo
• Resumen

  • Type IIA ux compacti cations have proven to be a rich framework to construct phenomenologically appealing string vacua. However, a better understanding of such a ux landscape in the presence of D-branes is required if one wants to nd realistic vacuum solutions. In this thesis, we study perturbative Type IIA ux vacua with an underlying Calabi-Yau geometry, by mean of the ux-axion polynomial formalism.

    In a rst stage we consider type IIA Calabi-Yau orientifolds with background uxes and rewrite the classical ux potential as a bilinear of ux-axion polynomials invariant under the discrete shift symmetries of the compacti cation.

    We perform a systematic search of purely closed string vacua, showing that one can easily rewrite the conditions for N = 0 Minkowski and N = 1 AdS in terms of simple algebraic equations on the axion polynomials. Then we turn to the search of vacua in compacti cations with uxes and mobile D6-branes. The presence of D6-brane moduli rede nes the four-dimensional dilaton and complex structure moduli and simultaneously destroy the nice factorization between K ahler and complex structure moduli in the K ahler potential, complicating the search of vacua in terms of the e ective K ahler potential and superpotential. Nevertheless, one may still express the F-term scalar potential as a bilinear of such polynomials, which allows us to nd a new and more general class of N = 0 Minkowski vacua, which present a quite simple structure of contravariant F-terms. We compute the set of soft supersymmetry breaking terms for chiral models of intersecting D6-branes in such vacua, nding a quite universal pattern.

    In a second stage we further study type IIA Calabi-Yau ux compacti cations with perturbative 0-corrections. It is a well-known fact that the inclusion of such 0-corrections allows to construct the mirror duals of type IIB Calabi-Yau ux compacti cations, in which the e ect of ux backreaction is under control.

    We compute the 0-corrected scalar potential generated by RR and NS uxes, and reformulate it as a bilinear of the ux-axion polynomials. The use of such invariants allows to express in a compact and simple way the conditions for N = 0 Minkowski and N = 1 AdS ux vacua, and to extract the e ect of 0-corrections on them.