Kalb-Ramond backgrounds in α'-complete cosmology

We study the matter-coupled equations of motion for cosmological NS massless fields including all alpha' corrections in an O(d, d) duality invariant approach, with emphasis on the Kalb-Ramond two-form field B-(2) and its source. Solutions for the vacuum and matter cases are found and the corresponding Einstein frame cosmologies are discussed. We also show that the ansatz for B-(2) required by the duality invariant framework implies that the two-form is non-isotropic.

Automated summary

The study focuses on the matter-coupled equations of motion for cosmological NS massless fields, specifically the Kalb-Ramond two-form field and its source in an O(d, d) duality invariant approach. Solutions for both vacuum and matter cases are found, and the non-isotropic nature of the two-form field under the duality invariant framework is discussed.