Kalb-Ramond backgrounds in ${\alpha }^{\prime }$-complete cosmology

Abstract

We study the matter-coupled equations of motion for cosmological NS massless fields including all ${\alpha }^{\prime }$ 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 case 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.

24 pages

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Cited by in corpus (1)

• Supersymmetry breaking, brane dynamics and Swampland conjectures