U-duality and M-theory, an algebraic approach
High Energy Physics - Theory
2009-10-31 v1
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.
Cite
@article{arxiv.hep-th/9812139,
title = {U-duality and M-theory, an algebraic approach},
author = {N. A. Obers and B. Pioline},
journal= {arXiv preprint arXiv:hep-th/9812139},
year = {2009}
}
Comments
8 pages, Latex, to appear in the proceedings of Quantum Aspects of Gauge Theories, Supersymmetry and Unification, Corfu, September 1998