U-duality and M-theory, an algebraic approach

  • Niels A. Obers
  • Boris Pioline
Conference paper
Part of the Lecture Notes in Physics book series (LNP, volume 525)


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.


Gauge Theory Modulus Space Weyl Group Mapping Class Group Dehn Twist 
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Copyright information

© Springer-Verlag 1999

Authors and Affiliations

  • Niels A. Obers
    • 1
  • Boris Pioline
    • 2
  1. 1.Nordita and Niels Bohr InstituteCopenhagenDanmark
  2. 2.Centre de Physique Théorique, École polytechniquePalaiseauFrance

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