2016/10/31 by Davide M. Lombardo, Davide Maria Lombardo, Fabio Riccioni +1 · 2 citations
Mathematics · Physics and Astronomy · #Astrophysical Phenomena and Observations #Biology #Black Holes and Theoretical Physics #Brane cosmology #Cosmology and Gravitation Theories #Duality (order theory) #Mathematical physics #Mathematics #Orientifold #Physics #Pure mathematics #String (physics) #String theory #Superpotential #Supersymmetry #T-duality #Theoretical physics #Transformation (genetics) #hep-th
paper · pdf · doi:10.1007/jhep12(2016)114
29 pages. Refs. added, end of subsection 4.2 improved, other minor changes. Version published on JHEP
openalex publication_date 2016/12/01 · arxiv created 2017/01/10 · arxiv updated 2017/02/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider the N = 1 superpotential generated in type-II orientifold models by non-geometric fluxes. In particular, we focus on the family of P fluxes, that are related by T-duality transformations to the S-dual of the Q flux. We determine the general rule that transforms a given flux in this family under a single T-duality transformation. This rule allows to derive a complete expression for the superpotential for both the IIA and the IIB theory for the particular case of a T6/[ℤ2× ℤ2] orientifold. We then consider how these fluxes modify the generalised Bianchi identities. In particular, we derive a fully consistent set of quadratic constraints coming from the NS-NS Bianchi identities. On the other hand, the P flux Bianchi identities induce tadpoles, and we determine a set of exotic branes that can be consistently included in order to cancel them. This is achieved by determining a universal transformation rule under T-duality satisfied by all the branes in string theory.