Universal class of type-IIB flux vacua with analytic mass spectrum

Jeremy M. Wachter,Jose J. Blanco-Pillado,Kepa Sousa,Mikel A. Urkiola

doi:10.1103/physrevd.103.106006

Abstract

We report on a new class of flux vacua generically present in Calabi-Yau compactifications of type-IIB string theory. At these vacua, the mass spectrum of the complete axio-dilaton/complex structure sector is given, to leading order in $\alpha'$ and $g_s$, by a simple analytic formula independent of the choice of Calabi-Yau. We provide a method to find these vacua, and construct an ensemble of $17,054$ solutions for the Calabi-Yau hypersurface $\mathbb{WP}_{[1,1,1,6,9]}^4$, where the masses of the axio-dilaton and the $272$ complex structure fields can be explicitly computed.

Highlights

The study of the phenomenological implications of string theory demands the construction of low-energy effective field theories (EFTs) describing its compactification to four dimensions
In the present paper we prove that, in the large complex structure (LCS) regime and provided the fluxes are conveniently constrained, the EFT of generic Calabi-Yau compactifications always admits a consistent truncation of all complex structure fields but one
We presented a method to construct ensembles of flux vacua for generic Calabi-Yau compactifications at LCS, where the masses of the axiodilaton and complex structure moduli are given by the universal formula (1)

Summary

INTRODUCTION

The study of the phenomenological implications of string theory demands the construction of low-energy effective field theories (EFTs) describing its compactification to four dimensions. While significant progress has been made in crucial aspects of moduli stabilization in the last couple of years [14,20,22,25], a precise characterization of the mass spectrum in the axiodilaton/complex structure sector has remained elusive, which calls for further studies in this direction Advances on this matter were recently made in [26] (following [17,27,28]) for compactifications on the orientifold of Calabi-Yau manifolds, which allow the consistent truncation of all the complex structure fields except one. The choice of field surviving the truncation is highly nonunique, with each possibility associated to a different monodromy direction vi This simple, and yet powerful, observation allows us to extend the results of [26] to generic Calabi-Yau compactifications and, as a consequence, opens the door to generating a large landscape of vacua with an unprecedented analytic control over the mass spectrum of the axiodilaton and complex structure moduli. As we shall see below, our approach allows us to search for these solutions in a very efficient way, which makes it attractive for explicit constructions of de Sitter vacua

CONSISTENT TRUNCATION OF THE EFT

DISCUSSION

Redundancies and solution duplicates

Analytic formulae and numerical results

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