U-duality and M-theory, an algebraic approach

Details U-duality and M-theory, an algebraic approach U-duality and M-theory, an algebraic approach

1998-12-16

arxiv.org/abs/hep-th/9812139v1

Physics

High Energy Physics

High Energy Physics - Theory

8 pages, Latex, to appear in the proceedings of Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Corfu, Septe

Scientific paper

10.1007/BFb0104263

Based on our work hep-th/9809039, 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)}(Z), 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.

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