$AdS$ Vacua from Dilaton Tadpoles and Form Fluxes

TL;DR

This paper explores how unbounded form fluxes and dilaton tadpoles in various string models can produce stable $AdS$ vacua with constant dilaton profiles, expanding the landscape of possible string compactifications.

Contribution

It demonstrates the existence of new $AdS$ vacua supported by unbounded fluxes and dilaton tadpoles in several string models, including $USp(32)$, $U(32)$, and heterotic models, with controlled corrections.

Findings

Unbounded three-form fluxes lead to $AdS_3 imes S_7$ vacua.

Unbounded seven-form fluxes support $AdS_7 imes S_3$ vacua.

Special gauge fluxes enable $AdS_{n} imes S_{10-n}$ vacua for $n=2..8$.

Abstract

We describe how unbounded three--form fluxes can lead to families of $AdS_3 \times S_7$ vacua, with constant dilaton profiles, in the $USp(32)$ model with "brane supersymmetry breaking" and in the $U(32)$ 0'B model, if their (projective--)disk dilaton tadpoles are taken into account. We also describe how, in the $SO(16) \times SO(16)$ heterotic model, if the torus vacuum energy $\Lambda$ is taken into account, unbounded seven--form fluxes can support similar $AdS_7 \times S_3$ vacua, while unbounded three--form fluxes, when combined with internal gauge fields, can support $AdS_3 \times S_7$ vacua, which continue to be available even if $\Lambda$ is neglected. In addition, special gauge field fluxes can support, in the $SO(16) \times SO(16)$ heterotic model, a set of $AdS_{n}\times S_{10-n}$ vacua, for all $n=2,..,8$. String loop and $\alpha'$ corrections appear under control when large form fluxes are allowed.