O(16)$\times$O(16) heterotic theory on $AdS_3\times S^3\times T^4$

TL;DR

This paper investigates non-supersymmetric $AdS_3 imes S^3 imes T^4$ vacua in $O(16) imes O(16)$ heterotic string theory, analyzing stability and the potential for uplift to de Sitter space.

Contribution

It provides a detailed stability analysis of these vacua, showing all modes are above the Breitenlohner-Freedman bound and no uplift to de Sitter is possible.

Findings

All scalar and tensor modes are stable and above the BF bound.

Moduli from the torus are stable for a large range of fluxes.

No uplift to de Sitter space is achievable with the considered fluxes.

Abstract

In this paper, we study non-supersymmetric $AdS_{3}\times S^{3}$ vacuua of $O(16)\times O(16)$ heterotic theory on a string scale $T^{4}$ background, which are parameterized by a pair of flux integers. Adding the one-loop scalar potential to the effective theory contributes positively to the cosmological constant, but we find that there is no uplift to de Sitter for any values of the fluxes. We study the fluctuations around these vacua and show that all scalar and tensor modes from the six-dimensional effective theory lie above the Breitenlohner-Freedman bound. The moduli coming from the torus compactification will also be above the bound, at least for a large range of fluxes.