Abstract
We provide a systematic treatment of possible corrections to the inflaton
potential for D-brane inflation in the warped deformed conifold. We consider
the D3-brane potential in the presence of the most general possible corrections
to the throat geometry sourced by coupling to the bulk of a compact Calabi-Yau
space. This corresponds to the potential on the Coulomb branch of the dual
gauge theory, in the presence of arbitrary perturbations of the Lagrangian. The
leading contributions arise from perturbations by the most relevant operators
that do not destroy the throat geometry. We find a generic contribution from a
non-chiral operator of dimension $\Delta=2$ associated with a global symmetry
current, resulting in a negative contribution to the inflaton mass-squared. If
the Calabi-Yau preserves certain discrete symmetries, this is the dominant
correction to the inflaton potential, and fine-tuning of the inflaton mass is
possible. In the absence of such discrete symmetries, the dominant contribution
comes from a chiral operator with $\Delta=3/2$, corresponding to a $\phi^3/2$
term in the inflaton potential. The resulting inflationary models are
phenomenologically similar to the inflection point scenarios arising from
specific D7-brane embeddings, but occur under far more general circumstances.
Our strategy extends immediately to other warped geometries, given sufficient
knowledge of the Kaluza-Klein spectrum.
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