Heterotic de-Sitter Solutions

TL;DR

This paper classifies all warped de-Sitter backgrounds in heterotic supergravity up to two loops, revealing their geometric structure and the conditions under which they exist.

Contribution

It provides a complete classification of warped de-Sitter solutions in heterotic supergravity, including the specific geometric forms they take.

Findings

Warped dS_n backgrounds with n ≥ 3 are R^{1,n} × M_{9-n}.

Warped dS_2 backgrounds are AdS_3 × M_7.

Classification holds up to two loops in heterotic supergravity.

Abstract

We classify all warped product de-Sitter backgrounds in heterotic supergravity, up to two loops. We find that warped $dS_n$ backgrounds, with $n\ge 3$, are $\mathbb{R}^{1,n}\times M_{9-n}$, where $M_{9-n}$ is a $(9-n)$-dimensional Riemannian manifold. Moreover, we establish that warped $dS_2$ backgrounds are $AdS_3\times M_7$, where $M_7$ is a 7-dimensional Riemannian manifold.