Abstract
In this paper we argue that the mechanism of unwinding inflation is naturally present in warped compactifications of type IIB string theory with local throats. The unwinding of flux is caused by its annihilation against branes. The resulting inflaton potential is linear with periodic modulations. We initiate an analysis of the inflationary dynamics and cosmological observables, which are highly constrained by moduli stabilization. For the simplified model of single-Kähler Calabi-Yau spaces we find that many, though not all of the consistency constraints can be satisfied. Particularly, in this simple model geometric constraints are in tension with obtaining the observed amplitude of the scalar power spectrum. However, we do find 60 efolds of inflation with a trans-Planckian field excursion which offers the hope that slightly more complicated models can lead to a fully consistent explicit construction of large field inflation of this kind.
Highlights
JHEP03(2017)037 fluxes, one finds tadpole conditions that require changes in flux quanta to be accompanied by changes in the net number of brane charges
Since the anti-D3 branes carry charge opposite to the charge induced by the three-form fluxes, they can annihilate such that both are reduced in a way that satisfies the tadpole condition
We have argued that the mechanism of unwinding inflation [6, 7] can be embedded in wellknown compactifications of type IIB string theory
Summary
We review the technical details of the flux background and discuss under what approximations the background remains stable during the cascade. Ensuring the stability of the Kahler moduli throughout inflation constitutes one of the main challenges for any proposal for inflation in string theory (see e.g. the discussion in [12].) Since we are interested in a large number of antibranes annihilating against many units of flux to ensure a long-lasting cascade, it would seem that stability is severely compromised. By placing the branes inside a deep warped throat where z is small, the energy of the antibranes can be redshifted to a small value such that all geometric moduli remain stable throughout the process This constraint is in tension with an arbitrarily large inflaton field range, in the example discussed in section 3.4 by a delicate tuning of the parameters in (2.9) we achieve a trans-Planckian field range and 60 efolds of inflation in a controlled setting
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