Abstract
We consider the \( \mathcal{N} \) = 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 \( {T}^6/\left[{\mathbb{Z}}_2\times {\mathbb{Z}}_2\right] \) 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.
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Lombardo, D.M., Riccioni, F. & Risoli, S. P fluxes and exotic branes. J. High Energ. Phys. 2016, 114 (2016). https://doi.org/10.1007/JHEP12(2016)114
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DOI: https://doi.org/10.1007/JHEP12(2016)114