 In the "p=1" case, which is the relevant case for the geometry of flux compactifications in string theory, this transformation is known in the physics literature as a shift in the B field.The cotangent bundle, formula_4 of M is the bundle of differential one-forms.In the case "p"=1 the Courant bracket maps two sections of formula_5, the direct sum of the tangent and cotangent bundles, to another section of formula_5.