U-duality and M-theory, an algebraic approach

Abstract

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.

8 pages, Latex, to appear in the proceedings of Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Corfu, September 1998

References in corpus (9)

• Why is the Matrix Model Correct?
• On $R^4$ threshold corrections in IIB string theory and (p,q) string instantons
• Heterotic / type I duality and D-brane instantons
• M-Theory and U-duality on T^d with Gauge Backgrounds
• Algebraic Aspects of Matrix Theory on T^d
• A note on non-perturbative R^4 couplings
• Aspects of U-Duality in Matrix Theory
• U-duality and D-brane Combinatorics
• U-Duality and BPS Spectrum of Super Yang-Mills Theory and M-Theory