U-duality and M-theory, an algebraic approach
نویسنده
چکیده
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 Ed(d)(Z), while Borel generators extend these finite groups into the full Tand 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.
منابع مشابه
ar X iv : h ep - t h / 98 12 13 9 v 1 1 6 D ec 1 99 8 U - duality and M - theory , an algebraic approach ∗
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 Ed(d)(Z), while Borel generators extend these finite groups into the full Tand U-duality groups. We discuss how the BPS states fall into various representations, and obtain duality...
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