Gauge Field Fluxes and Bianchi Identities in Extended Field Theories

Abstract

The tensor hierarchy of exceptional field theories contains gauge fields satisfying certain Bianchi identities with sources determining the interactions with standard and exotic branes. These identities are responsible for tadpole cancellation in compactification schemes and provide consistency constraints for building cosmological models. In detail, we consider and develop an approach in which the analysis of the reduction of a (10+10)-dimensional double field theory to a (D+d+d)-dimensional split double field theory allows considering all Bianchi identities of the theory in a form analogous to the extended field theory approach.