Heterotic de-Sitter solutions

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≥3, are R^1,n×M_9−n​, where M_9−n​ is a (9−n)-dimensional Riemannian manifold. Moreover, we establish that warped dS₂​ backgrounds are AdS₃​×M_7​, where M₇​ is a 7-dimensional Riemannian manifold.