Green-Schwarz mechanism and $α'$-deformed Courant brackets
arXiv:1407.0708 · doi:10.1007/JHEP01(2015)012
Abstract
We establish that the unusual two-form gauge transformations needed in the Green-Schwarz anomaly cancellation mechanism fit naturally into an $α'$-deformed generalized geometry. The algebra of gauge transformations is a consistent deformation of the Courant bracket and features a nontrivial modification of the diffeomorphism group. This extension of generalized geometry emerged from a `doubled $α'$-geometry', which provides a construction of exactly gauge and T-duality invariant $α'$ corrections to the effective action.
22 pages, v2: refs. added