Algebras and non-geometric flux vacua

TL;DR

This paper classifies non-geometric Q-flux subalgebras in type IIB orientifolds, deriving flux vacua with stabilized moduli, analyzing tadpole constraints, and exploring the landscape of multiple vacua with implications for string compactifications.

Contribution

It provides a systematic classification of Q-flux subalgebras and constructs explicit supersymmetric AdS_4 vacua with stabilized moduli in a specific orientifold setting.

Findings

Five compatible Q-flux subalgebras identified

Explicit families of supersymmetric AdS_4 vacua constructed

Multiple vacua found for special flux configurations

Abstract

In this work we classify the subalgebras satisfied by non-geometric Q-fluxes in type IIB orientifolds on T^6/(Z_2 x Z_2) with three moduli (S,T,U). We find that there are five subalgebras compatible with the symmetries, each one leading to a characteristic flux-induced superpotential. Working in the 4-dimensional effective supergravity we obtain families of supersymmetric AdS_4 vacua with all moduli stabilized at small string coupling g_s. Our results are mostly analytic thanks to a judicious parametrization of the non-geometric, RR and NSNS fluxes. We are also able to leave the flux-induced C_4 and C_8 RR tadpoles as free variables, thereby enabling us to study which values are allowed for each Q-subalgebra. Another novel outcome is the appearance of multiple vacua for special sets of fluxes. However, they generically have g_s > 1 unless the net number of O3/D3 or O7/D7 sources needed to cancel the tadpoles is large. We also discuss briefly the issues of axionic shift symmetries and cancellation of Freed-Witten anomalies.