M- Theory and U - dualities
Boris Pioline, Niels A. Obers · 1999
Based on our work [1], we discuss how U-duality arises as an exact symmetry of M-theory from T-duality and 11D diffeomorphism invariance.A set of Weyl generators are shown to realize the Weyl group of SO(d, d, Z) and E d(d) , while Borel generators extend these finite groups into the full T-and U-duality groups.We discuss how the BPS states fall into various representations, and obtain duality invariant mass formulae, relevant for the computation of exact string amplitudes.The realization of U-duality symmetry in Matrix gauge theory is also considered.