D-terms and F-terms from D7-brane fluxes
Hans Jockers, Jan Louis

TL;DR
This paper derives the D- and F-terms in the effective N=1 supergravity action from D7-branes with fluxes in Calabi-Yau orientifold compactifications, highlighting their role in flux-induced scalar potentials relevant for string cosmology.
Contribution
It provides a detailed computation of D- and F-terms from D7-brane fluxes using fermionic couplings, extending previous models to more general flux configurations.
Findings
Derived fermionic spectrum from D7-branes with fluxes.
Computed D- and F-terms for generic Calabi-Yau orientifolds.
Analyzed flux-induced scalar potentials and their cosmological implications.
Abstract
Using a Kaluza-Klein reduction of the fermionic part of the D-brane action we compute D- and F-terms of the N=1 effective action for generic Calabi-Yau orientifold compactifications in the presence of a space-time filling D7-brane. We include non-trivial background fluxes for the D7-brane U(1) field strength on the internal four-cycle wrapped by the brane. First the four-dimensional fermionic spectrum arising from the D7-brane is derived and then the D- and F-terms are obtained by computing appropriate couplings of these fermionic fields. For specific examples we examine the resulting flux-induced scalar potentials and comment on their relevance in string cosmology.
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