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U-duality and M-theory, an algebraic approach

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Quantum Aspects of Gauge Theories, Supersymmetry and Unification

Part of the book series: Lecture Notes in Physics ((LNP,volume 525))

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Abstract

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.

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Author information

Authors and Affiliations

  1. Nordita and Niels Bohr Institute, Blegdamsvej 17, DK-2100, Copenhagen, Danmark

    Niels A. Obers

  2. Centre de Physique Théorique, École polytechnique, F-91128, Palaiseau, France

    Boris Pioline

Authors
  1. Niels A. Obers
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  2. Boris Pioline
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Editor information

A. Ceresole C. Kounnas D. Lüst S. Theisen

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© 1999 Springer-Verlag

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Obers, N.A., Pioline, B. (1999). U-duality and M-theory, an algebraic approach. In: Ceresole, A., Kounnas, C., Lüst, D., Theisen, S. (eds) Quantum Aspects of Gauge Theories, Supersymmetry and Unification. Lecture Notes in Physics, vol 525. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0104263

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  • DOI: https://doi.org/10.1007/BFb0104263

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-66005-7

  • Online ISBN: 978-3-540-48792-0

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