Type IIA Flux Vacua with Mobile D6-branes

Understand

We analyse type IIA Calabi-Yau orientifolds with background fluxes and D6-branes.

• The presence of D6-brane deformation moduli redefines the 4d dilaton and complex structure fields and complicates the analysis of such vacua in terms of the effective Kahler potential and superpotential.
• One may however formulate the F-term scalar potential as a bilinear form on the flux-axion polynomials $\rho_A$ invariant under the discrete shift symmetries of the 4d effective theory.
• We express the conditions for Minkoswki and AdS flux vacua in terms of such polynomials, which allow to extend the analysis to include vacua with mobile D6-branes.