A torsion-free background solution of the string theory

Abstract

We find a background solution of the string theory which has a special property distinguished from the usual background solutions. This background solution does not produce the NS-NS two-form fields under T-duality and therefore the background vacua described by this solution essentially do not involve NS-NS type branes in their configurations, unlikely to the case of the ordinary Calabi-Yau ansatz. As a result the non-linear $\sigma$-models, whose target space metrics are given by these T-dual partners, can both be torsion-free.

References in corpus (4)

• De Sitter Vacua from Matter Superpotentials
• Moduli stabilization, F-term uplifting and soft supersymmetry breaking terms
• Relating Conifold Geometries to NS5-branes
• Remark on Calabi-Yau vacua of the string theory and the cosmological constant problem