Universal Class of Type-IIB Flux Vacua with Analytic Mass Spectrum

TL;DR

This paper introduces a new, universal class of type-IIB flux vacua with an analytic mass spectrum for the axio-dilaton and complex structure fields, applicable across Calabi-Yau compactifications, and provides a method to find and analyze these vacua.

Contribution

It identifies a universal class of flux vacua with an explicit analytic mass spectrum and develops a method to construct large ensembles of such solutions.

Findings

Analytic formula for mass spectrum independent of Calabi-Yau choice

Constructed ensemble of over 17,000 solutions for a specific Calabi-Yau

Explicit computation of masses for axio-dilaton and complex structure fields

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.