Abstract
Recent models of axion monodromy inflation in string theory link the inflationary potential and the moduli stabilization potential. Realistic inflationary models require mechanisms to moderately suppress the inflaton mass with respect to the moduli stabilization scale. In this paper we explore the realization of this idea using warped throats, whose redshifted infrared region supports the inflaton mode. The inflaton potential and its monodromy arise from couplings to the fluxes supporting the throat. We provide explicit realizations of such throats in type IIB with NSNS and RR 3-form field strength fluxes, and in type IIA with RR 2-form fluxes. Once embedded in a global CY, these systems would provide a mechanism to realize chaotic inflation at scales parametrically suppressed with respect to bulk physics. The construction of the throats is systematically carried out using geometric transitions in systems of D-branes at singularities, whose properties and dynamics are efficiently encoded using dimer diagrams. The holographic dual of the axion monodromy is a quasi-periodic chain of Seiberg dualities.
Highlights
Brane-antibrane pairs, due to tadpole cancellation in compact examples) wrapped on the 2-cycle, such that the shift of the axion produces an energy increase due to the induced D3brane charge
We provide an explicit construction of local warped throats in type IIB with moduli stabilization by 3-form fluxes, and whose infrared region supports an axion with a monodromy induced by the 3form flux itself
We focus on the complex cone over dP3 which is a toric CY 3-fold, whose geometry can be nicely encoded in the (p, q) web diagram shown in figure 1
Summary
Warped throats have become a standard tool to generate hierarchies, which admits an interpretation in terms of dimensional transmutation via the gauge/gravity duality. Where K denotes the NSNS 3-form flux quantum, after cutting off the throat at some distance in the radial direction, equivalently an energy scale in the dual theory. The radial direction of a throat is holographically interpreted as the energy scale in the dual gauge theory. For this reason, we will often use the common terminology of UV and IR to refer to the large and small radius regions, respectively. There are warped throat supergravity solutions with RR 3-form flux on the 3-cycles of the deformation and NSNS 3-form flux on the non-compact duals, with the warped metric being conformal to the underlying deformed CY metric. General throat supergravity solutions simplify in the r regime, where their metric is a warped version of the underlying conical singularity metric. The classic example of such geometry is the r regime of KS, known as the Klebanov-Tseytlin (KT) solution [29]
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