Abstract

Continuing with the ideas of (Section 4 of) [A. Misra, P. Shukla, Moduli stabilization, large-volume dS minimum without anti-D3-branes, (non-)supersymmetric black hole attractors and two-parameter Swiss cheese Calabi–Yau's, arXiv: 0707.0105 [hep-th], Nucl. Phys. B, in press], after inclusion of perturbative and non-perturbative α ′ corrections to the Kähler potential and (D1- and D3-) instanton generated superpotential, we show the possibility of slow roll axionic inflation in the large volume limit of Swiss cheese Calabi–Yau orientifold compactifications of type IIB string theory. We also include one- and two-loop corrections to the Kähler potential but find the same to be subdominant to the (perturbative and non-perturbative) α ′ corrections. The NS–NS axions provide a flat direction for slow roll inflation to proceed from a saddle point to the nearest dS minimum.

Highlights

  • The embedding of inflation in string theory has been a field of recent interest because of several attempts to construct inflationary models in the context of string theory to reproduce CMB and WMAP observations [2, 3, 4]

  • D3-brane instanton number ns associated with the “small divisor” to be much larger than the D1-instanton numbers maD1’s, one gets a flat direction provided by the NS-NS axions for slow roll inflation to occur starting from a saddle point and proceeding to the nearest dS minimum

  • The “eta problem” gets solved at and away from the saddle point locus for some quantized values of a linear combination of the NS-NS and RR axions; the slow-roll flat direction is provided by the NS-NS axions

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Summary

Introduction

The embedding of inflation in string theory has been a field of recent interest because of several attempts to construct inflationary models in the context of string theory to reproduce CMB and WMAP observations [2, 3, 4]. In the context of type IIB string compactifications, the idea of “racetrack inflation” was proposed by adding an extra exponential term with the same Kahler modulus but with a different weight in the expression for the superpotential ([15]). This was followed by “Inflating in a better racetrack” proposed by Pillado et al [16] considering two Kahler moduli in superpotential; it was suggested that inflation may be easier to achieve if one considers more (than one) Kahler moduli.

Getting dS Minimum Without D3-Branes
Axionic Slow Roll Inflation
Discussion

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