Classification of the Vacua of the Dimensionally Reduced Low‐Energy Limit of the Heterotic String Over Nearly‐Kähler Manifolds

Abstract

AbstractWe examine the vacua of the scalar potential of the effective 4‐d action, obtained after the dimensional reduction of the 10‐d heterotic supergravity coupled to an Yang‐Mills sector. The (Coset Space) dimensional reduction takes place over the three 6‐d nearly‐Kähler manifolds, namely the homogeneous 6‐d non‐symmetric coset spaces, , and . The current work consists a complete catalogue of the kinds of vacua of theories obtained after the reduction of the heterotic string over the 6‐d non‐symmetric coset spaces and, moreover, a contribution to the dialogue of the possibility to result with non‐AdS vacua in the framework of string theories.