Minkowski spacetime and non-Ricci-flat compactification in heterotic supergravity

Abstract

We compactify the ten-dimensional spacetime in heterotic supergravity leaving four-dimensional Minkowski spacetime. We search for nonsupersymmetric, non-Ricci-flat solutions of the equations of motion with the quadratic curvature term. By assuming that the extradimensional spaces are products of 2-manifolds, three types of solutions are found. They are $S^2\times T^2\times H^2/\Gamma$, $S^2\times H^2/\Gamma \times H^2/\Gamma$, and $S^2\times S^2\times H^2/\Gamma$, where $H^2/\Gamma$ denotes a compact hyperbolic manifold. The metrics can be written explicitly, and they can be applied to phenomenology.

9 pages, v2: published version

References in corpus (1)

• Non-Kaehler Heterotic String Compactifications with non-zero fluxes and constant dilaton

Cited by in corpus (1)

• Three-generation solutions of equations of motion in heterotic supergravity